If 7p - 21 - 3 p = 7+6p-19, find the value of P
Answers
Answer:Reorder the terms:
-1 + 3p = 5(p + -1) + -2(7 + -2p)
Reorder the terms:
-1 + 3p = 5(-1 + p) + -2(7 + -2p)
-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)
-1 + 3p = (-5 + 5p) + -2(7 + -2p)
-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)
-1 + 3p = -5 + 5p + (-14 + 4p)
Reorder the terms:
-1 + 3p = -5 + -14 + 5p + 4p
Combine like terms: -5 + -14 = -19
-1 + 3p = -19 + 5p + 4p
Combine like terms: 5p + 4p = 9p
-1 + 3p = -19 + 9p
Solving
-1 + 3p = -19 + 9p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-9p' to each side of the equation.
-1 + 3p + -9p = -19 + 9p + -9p
Combine like terms: 3p + -9p = -6p
-1 + -6p = -19 + 9p + -9p
Combine like terms: 9p + -9p = 0
-1 + -6p = -19 + 0
-1 + -6p = -19
Add '1' to each side of the equation.
-1 + 1 + -6p = -19 + 1
Combine like terms: -1 + 1 = 0
0 + -6p = -19 + 1
-6p = -19 + 1
Combine like terms: -19 + 1 = -18
-6p = -18
Divide each side by '-6'.
p = 3
Simplifying
p = 3
Step-by-step explanation:
70 - 21 - 3p =7 + 6p-19
=49 -3p = -12+6p
=49+12=3p +6p
=61=9p
=p=61/9
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