-10p-6(3-3p)=3(p-2)-47

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Solution for -10p-6(3-3p)=3(p-2)-47 equation:


Simplifying
-10p + -6(3 + -3p) = 3(p + -2) + -47
-10p + (3 * -6 + -3p * -6) = 3(p + -2) + -47
-10p + (-18 + 18p) = 3(p + -2) + -47

Reorder the terms:
-18 + -10p + 18p = 3(p + -2) + -47

Combine like terms: -10p + 18p = 8p
-18 + 8p = 3(p + -2) + -47

Reorder the terms:
-18 + 8p = 3(-2 + p) + -47
-18 + 8p = (-2 * 3 + p * 3) + -47
-18 + 8p = (-6 + 3p) + -47

Reorder the terms:
-18 + 8p = -6 + -47 + 3p

Combine like terms: -6 + -47 = -53
-18 + 8p = -53 + 3p

Solving
-18 + 8p = -53 + 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.
-18 + 8p + -3p = -53 + 3p + -3p

Combine like terms: 8p + -3p = 5p
-18 + 5p = -53 + 3p + -3p

Combine like terms: 3p + -3p = 0
-18 + 5p = -53 + 0
-18 + 5p = -53

Add '18' to each side of the equation.
-18 + 18 + 5p = -53 + 18

Combine like terms: -18 + 18 = 0
0 + 5p = -53 + 18
5p = -53 + 18

Combine like terms: -53 + 18 = -35
5p = -35

Divide each side by '5'.
p = -7

Simplifying
p = -7

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