16-(p+2)=3(p-7)+10

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Solution for 16-(p+2)=3(p-7)+10 equation: 


Simplifying
16 + -1(p + 2) = 3(p + -7) + 10

Reorder the terms:
16 + -1(2 + p) = 3(p + -7) + 10
16 + (2 * -1 + p * -1) = 3(p + -7) + 10
16 + (-2 + -1p) = 3(p + -7) + 10

Combine like terms: 16 + -2 = 14
14 + -1p = 3(p + -7) + 10

Reorder the terms:
14 + -1p = 3(-7 + p) + 10
14 + -1p = (-7 * 3 + p * 3) + 10
14 + -1p = (-21 + 3p) + 10

Reorder the terms:
14 + -1p = -21 + 10 + 3p

Combine like terms: -21 + 10 = -11
14 + -1p = -11 + 3p

Solving
14 + -1p = -11 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
14 + -1p + -3p = -11 + 3p + -3p

Combine like terms: -1p + -3p = -4p
14 + -4p = -11 + 3p + -3p

Combine like terms: 3p + -3p = 0
14 + -4p = -11 + 0
14 + -4p = -11

Add '-14' to each side of the equation.
14 + -14 + -4p = -11 + -14

Combine like terms: 14 + -14 = 0
0 + -4p = -11 + -14
-4p = -11 + -14

Combine like terms: -11 + -14 = -25
-4p = -25

Divide each side by '-4'.
p = 6.25

Simplifying
p = 6.25

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