8p-5(p+3)=(7p-1)3

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Solution for 8p-5(p+3)=(7p-1)3 equation:


Simplifying
8p + -5(p + 3) = (7p + -1) * 3

Reorder the terms:
8p + -5(3 + p) = (7p + -1) * 3
8p + (3 * -5 + p * -5) = (7p + -1) * 3
8p + (-15 + -5p) = (7p + -1) * 3

Reorder the terms:
-15 + 8p + -5p = (7p + -1) * 3

Combine like terms: 8p + -5p = 3p
-15 + 3p = (7p + -1) * 3

Reorder the terms:
-15 + 3p = (-1 + 7p) * 3

Reorder the terms for easier multiplication:
-15 + 3p = 3(-1 + 7p)
-15 + 3p = (-1 * 3 + 7p * 3)
-15 + 3p = (-3 + 21p)

Solving
-15 + 3p = -3 + 21p

Solving for variable 'p'.

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

Add '-21p' to each side of the equation.
-15 + 3p + -21p = -3 + 21p + -21p

Combine like terms: 3p + -21p = -18p
-15 + -18p = -3 + 21p + -21p

Combine like terms: 21p + -21p = 0
-15 + -18p = -3 + 0
-15 + -18p = -3

Add '15' to each side of the equation.
-15 + 15 + -18p = -3 + 15

Combine like terms: -15 + 15 = 0
0 + -18p = -3 + 15
-18p = -3 + 15

Combine like terms: -3 + 15 = 12
-18p = 12

Divide each side by '-18'.
p = -0.6666666667

Simplifying
p = -0.6666666667

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