16-5(3p-4)=8(-2p+11)

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Solution for 16-5(3p-4)=8(-2p+11) equation:


Simplifying
16 + -5(3p + -4) = 8(-2p + 11)

Reorder the terms:
16 + -5(-4 + 3p) = 8(-2p + 11)
16 + (-4 * -5 + 3p * -5) = 8(-2p + 11)
16 + (20 + -15p) = 8(-2p + 11)

Combine like terms: 16 + 20 = 36
36 + -15p = 8(-2p + 11)

Reorder the terms:
36 + -15p = 8(11 + -2p)
36 + -15p = (11 * 8 + -2p * 8)
36 + -15p = (88 + -16p)

Solving
36 + -15p = 88 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
36 + -15p + 16p = 88 + -16p + 16p

Combine like terms: -15p + 16p = 1p
36 + 1p = 88 + -16p + 16p

Combine like terms: -16p + 16p = 0
36 + 1p = 88 + 0
36 + 1p = 88

Add '-36' to each side of the equation.
36 + -36 + 1p = 88 + -36

Combine like terms: 36 + -36 = 0
0 + 1p = 88 + -36
1p = 88 + -36

Combine like terms: 88 + -36 = 52
1p = 52

Divide each side by '1'.
p = 52

Simplifying
p = 52

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