5(p+7)-2(3p-4)=3p

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Solution for 5(p+7)-2(3p-4)=3p equation: 


Simplifying
5(p + 7) + -2(3p + -4) = 3p

Reorder the terms:
5(7 + p) + -2(3p + -4) = 3p
(7 * 5 + p * 5) + -2(3p + -4) = 3p
(35 + 5p) + -2(3p + -4) = 3p

Reorder the terms:
35 + 5p + -2(-4 + 3p) = 3p
35 + 5p + (-4 * -2 + 3p * -2) = 3p
35 + 5p + (8 + -6p) = 3p

Reorder the terms:
35 + 8 + 5p + -6p = 3p

Combine like terms: 35 + 8 = 43
43 + 5p + -6p = 3p

Combine like terms: 5p + -6p = -1p
43 + -1p = 3p

Solving
43 + -1p = 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.
43 + -1p + -3p = 3p + -3p

Combine like terms: -1p + -3p = -4p
43 + -4p = 3p + -3p

Combine like terms: 3p + -3p = 0
43 + -4p = 0

Add '-43' to each side of the equation.
43 + -43 + -4p = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -4p = 0 + -43
-4p = 0 + -43

Combine like terms: 0 + -43 = -43
-4p = -43

Divide each side by '-4'.
p = 10.75

Simplifying
p = 10.75

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