7(p-2)=2(7-3p)-2

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Solution for 7(p-2)=2(7-3p)-2 equation:


Simplifying
7(p + -2) = 2(7 + -3p) + -2

Reorder the terms:
7(-2 + p) = 2(7 + -3p) + -2
(-2 * 7 + p * 7) = 2(7 + -3p) + -2
(-14 + 7p) = 2(7 + -3p) + -2
-14 + 7p = (7 * 2 + -3p * 2) + -2
-14 + 7p = (14 + -6p) + -2

Reorder the terms:
-14 + 7p = 14 + -2 + -6p

Combine like terms: 14 + -2 = 12
-14 + 7p = 12 + -6p

Solving
-14 + 7p = 12 + -6p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '6p' to each side of the equation.
-14 + 7p + 6p = 12 + -6p + 6p

Combine like terms: 7p + 6p = 13p
-14 + 13p = 12 + -6p + 6p

Combine like terms: -6p + 6p = 0
-14 + 13p = 12 + 0
-14 + 13p = 12

Add '14' to each side of the equation.
-14 + 14 + 13p = 12 + 14

Combine like terms: -14 + 14 = 0
0 + 13p = 12 + 14
13p = 12 + 14

Combine like terms: 12 + 14 = 26
13p = 26

Divide each side by '13'.
p = 2

Simplifying
p = 2

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