4(3p-1)+13=5p+2

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Solution for 4(3p-1)+13=5p+2 equation:


Simplifying
4(3p + -1) + 13 = 5p + 2

Reorder the terms:
4(-1 + 3p) + 13 = 5p + 2
(-1 * 4 + 3p * 4) + 13 = 5p + 2
(-4 + 12p) + 13 = 5p + 2

Reorder the terms:
-4 + 13 + 12p = 5p + 2

Combine like terms: -4 + 13 = 9
9 + 12p = 5p + 2

Reorder the terms:
9 + 12p = 2 + 5p

Solving
9 + 12p = 2 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
9 + 12p + -5p = 2 + 5p + -5p

Combine like terms: 12p + -5p = 7p
9 + 7p = 2 + 5p + -5p

Combine like terms: 5p + -5p = 0
9 + 7p = 2 + 0
9 + 7p = 2

Add '-9' to each side of the equation.
9 + -9 + 7p = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 7p = 2 + -9
7p = 2 + -9

Combine like terms: 2 + -9 = -7
7p = -7

Divide each side by '7'.
p = -1

Simplifying
p = -1

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