5(p+2)=6(p-1)

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Solution for 5(p+2)=6(p-1) equation:


Simplifying
5(p + 2) = 6(p + -1)

Reorder the terms:
5(2 + p) = 6(p + -1)
(2 * 5 + p * 5) = 6(p + -1)
(10 + 5p) = 6(p + -1)

Reorder the terms:
10 + 5p = 6(-1 + p)
10 + 5p = (-1 * 6 + p * 6)
10 + 5p = (-6 + 6p)

Solving
10 + 5p = -6 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
10 + 5p + -6p = -6 + 6p + -6p

Combine like terms: 5p + -6p = -1p
10 + -1p = -6 + 6p + -6p

Combine like terms: 6p + -6p = 0
10 + -1p = -6 + 0
10 + -1p = -6

Add '-10' to each side of the equation.
10 + -10 + -1p = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -1p = -6 + -10
-1p = -6 + -10

Combine like terms: -6 + -10 = -16
-1p = -16

Divide each side by '-1'.
p = 16

Simplifying
p = 16

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