-13p-4(2-5p)=-2(p-3)-47

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Solution for -13p-4(2-5p)=-2(p-3)-47 equation:


Simplifying
-13p + -4(2 + -5p) = -2(p + -3) + -47
-13p + (2 * -4 + -5p * -4) = -2(p + -3) + -47
-13p + (-8 + 20p) = -2(p + -3) + -47

Reorder the terms:
-8 + -13p + 20p = -2(p + -3) + -47

Combine like terms: -13p + 20p = 7p
-8 + 7p = -2(p + -3) + -47

Reorder the terms:
-8 + 7p = -2(-3 + p) + -47
-8 + 7p = (-3 * -2 + p * -2) + -47
-8 + 7p = (6 + -2p) + -47

Reorder the terms:
-8 + 7p = 6 + -47 + -2p

Combine like terms: 6 + -47 = -41
-8 + 7p = -41 + -2p

Solving
-8 + 7p = -41 + -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.
-8 + 7p + 2p = -41 + -2p + 2p

Combine like terms: 7p + 2p = 9p
-8 + 9p = -41 + -2p + 2p

Combine like terms: -2p + 2p = 0
-8 + 9p = -41 + 0
-8 + 9p = -41

Add '8' to each side of the equation.
-8 + 8 + 9p = -41 + 8

Combine like terms: -8 + 8 = 0
0 + 9p = -41 + 8
9p = -41 + 8

Combine like terms: -41 + 8 = -33
9p = -33

Divide each side by '9'.
p = -3.666666667

Simplifying
p = -3.666666667

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