2(p+5)-2p=-(p+3)+7

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Solution for 2(p+5)-2p=-(p+3)+7 equation:


Simplifying
2(p + 5) + -2p = -1(p + 3) + 7

Reorder the terms:
2(5 + p) + -2p = -1(p + 3) + 7
(5 * 2 + p * 2) + -2p = -1(p + 3) + 7
(10 + 2p) + -2p = -1(p + 3) + 7

Combine like terms: 2p + -2p = 0
10 + 0 = -1(p + 3) + 7
10 = -1(p + 3) + 7

Reorder the terms:
10 = -1(3 + p) + 7
10 = (3 * -1 + p * -1) + 7
10 = (-3 + -1p) + 7

Reorder the terms:
10 = -3 + 7 + -1p

Combine like terms: -3 + 7 = 4
10 = 4 + -1p

Solving
10 = 4 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
10 + p = 4 + -1p + p

Combine like terms: -1p + p = 0
10 + p = 4 + 0
10 + p = 4

Add '-10' to each side of the equation.
10 + -10 + p = 4 + -10

Combine like terms: 10 + -10 = 0
0 + p = 4 + -10
p = 4 + -10

Combine like terms: 4 + -10 = -6
p = -6

Simplifying
p = -6

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