2(5p+7)=-(p+4)+9

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Solution for 2(5p+7)=-(p+4)+9 equation:


Simplifying
2(5p + 7) = -1(p + 4) + 9

Reorder the terms:
2(7 + 5p) = -1(p + 4) + 9
(7 * 2 + 5p * 2) = -1(p + 4) + 9
(14 + 10p) = -1(p + 4) + 9

Reorder the terms:
14 + 10p = -1(4 + p) + 9
14 + 10p = (4 * -1 + p * -1) + 9
14 + 10p = (-4 + -1p) + 9

Reorder the terms:
14 + 10p = -4 + 9 + -1p

Combine like terms: -4 + 9 = 5
14 + 10p = 5 + -1p

Solving
14 + 10p = 5 + -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.
14 + 10p + p = 5 + -1p + p

Combine like terms: 10p + p = 11p
14 + 11p = 5 + -1p + p

Combine like terms: -1p + p = 0
14 + 11p = 5 + 0
14 + 11p = 5

Add '-14' to each side of the equation.
14 + -14 + 11p = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 11p = 5 + -14
11p = 5 + -14

Combine like terms: 5 + -14 = -9
11p = -9

Divide each side by '11'.
p = -0.8181818182

Simplifying
p = -0.8181818182

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