2a-(8a+1)-(a+1)*5=9 then a=?
Answers
Answer:
Mark me brainilest
Step-by-step explanation:
Simplifying
2a + -1(8a + 1) + -1(a + 2) * 0.5 = 9
Reorder the terms:
2a + -1(1 + 8a) + -1(a + 2) * 0.5 = 9
2a + (1 * -1 + 8a * -1) + -1(a + 2) * 0.5 = 9
2a + (-1 + -8a) + -1(a + 2) * 0.5 = 9
Reorder the terms:
2a + -1 + -8a + -1(2 + a) * 0.5 = 9
Reorder the terms for easier multiplication:
2a + -1 + -8a + -1 * 0.5(2 + a) = 9
Multiply -1 * 0.5
2a + -1 + -8a + -0.5(2 + a) = 9
2a + -1 + -8a + (2 * -0.5 + a * -0.5) = 9
2a + -1 + -8a + (-1 + -0.5a) = 9
Reorder the terms:
-1 + -1 + 2a + -8a + -0.5a = 9
Combine like terms: -1 + -1 = -2
-2 + 2a + -8a + -0.5a = 9
Combine like terms: 2a + -8a = -6a
-2 + -6a + -0.5a = 9
Combine like terms: -6a + -0.5a = -6.5a
-2 + -6.5a = 9
Solving
-2 + -6.5a = 9
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -6.5a = 9 + 2
Combine like terms: -2 + 2 = 0
0 + -6.5a = 9 + 2
-6.5a = 9 + 2
Combine like terms: 9 + 2 = 11
-6.5a = 11
Divide each side by '-6.5'.
a = -1.692307692
Simplifying
a = -1.692307692
Answer:
a=15/11
Step-by-step explanation:
2a-(8a+1)-(a+1)*5=9
2a-8a-1-(5a+5)=9
-6a-1-5a-5=9
-11a-6=9
-11a=6+9
11a=15
a=15/11