-5p-3(4-4p)=2(p-5)-47

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Solution for -5p-3(4-4p)=2(p-5)-47 equation:


Simplifying
-5p + -3(4 + -4p) = 2(p + -5) + -47
-5p + (4 * -3 + -4p * -3) = 2(p + -5) + -47
-5p + (-12 + 12p) = 2(p + -5) + -47

Reorder the terms:
-12 + -5p + 12p = 2(p + -5) + -47

Combine like terms: -5p + 12p = 7p
-12 + 7p = 2(p + -5) + -47

Reorder the terms:
-12 + 7p = 2(-5 + p) + -47
-12 + 7p = (-5 * 2 + p * 2) + -47
-12 + 7p = (-10 + 2p) + -47

Reorder the terms:
-12 + 7p = -10 + -47 + 2p

Combine like terms: -10 + -47 = -57
-12 + 7p = -57 + 2p

Solving
-12 + 7p = -57 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-12 + 7p + -2p = -57 + 2p + -2p

Combine like terms: 7p + -2p = 5p
-12 + 5p = -57 + 2p + -2p

Combine like terms: 2p + -2p = 0
-12 + 5p = -57 + 0
-12 + 5p = -57

Add '12' to each side of the equation.
-12 + 12 + 5p = -57 + 12

Combine like terms: -12 + 12 = 0
0 + 5p = -57 + 12
5p = -57 + 12

Combine like terms: -57 + 12 = -45
5p = -45

Divide each side by '5'.
p = -9

Simplifying
p = -9

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