what is the value of a. 28-4a=6+2a-2)+24
Answers
Answer:
Simplifying
28 + -4a = 6(2a + -2) + 24
Reorder the terms:
28 + -4a = 6(-2 + 2a) + 24
28 + -4a = (-2 * 6 + 2a * 6) + 24
28 + -4a = (-12 + 12a) + 24
Reorder the terms:
28 + -4a = -12 + 24 + 12a
Combine like terms: -12 + 24 = 12
28 + -4a = 12 + 12a
Solving
28 + -4a = 12 + 12a
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12a' to each side of the equation.
28 + -4a + -12a = 12 + 12a + -12a
Combine like terms: -4a + -12a = -16a
28 + -16a = 12 + 12a + -12a
Combine like terms: 12a + -12a = 0
28 + -16a = 12 + 0
28 + -16a = 12
Add '-28' to each side of the equation.
28 + -28 + -16a = 12 + -28
Combine like terms: 28 + -28 = 0
0 + -16a = 12 + -28
-16a = 12 + -28
Combine like terms: 12 + -28 = -16
-16a = -16
Divide each side by '-16'.
a = 1
Simplifying
a = 1
28-4a=6(2a-2)+24
4 -4a = 12(a-1)
take 4 common both sides
1+ a = 3(a-1)
a+1=3a-3
2a=4
a= 2