6(p+4)-5(3+p)=12

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Solution for 6(p+4)-5(3+p)=12 equation:


Simplifying
6(p + 4) + -5(3 + p) = 12

Reorder the terms:
6(4 + p) + -5(3 + p) = 12
(4 * 6 + p * 6) + -5(3 + p) = 12
(24 + 6p) + -5(3 + p) = 12
24 + 6p + (3 * -5 + p * -5) = 12
24 + 6p + (-15 + -5p) = 12

Reorder the terms:
24 + -15 + 6p + -5p = 12

Combine like terms: 24 + -15 = 9
9 + 6p + -5p = 12

Combine like terms: 6p + -5p = 1p
9 + 1p = 12

Solving
9 + 1p = 12

Solving for variable 'p'.

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

Add '-9' to each side of the equation.
9 + -9 + 1p = 12 + -9

Combine like terms: 9 + -9 = 0
0 + 1p = 12 + -9
1p = 12 + -9

Combine like terms: 12 + -9 = 3
1p = 3

Divide each side by '1'.
p = 3

Simplifying
p = 3

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