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Simplifying -2(p + 6) = 5(p + -8) Reorder the terms: -2(6 + p) = 5(p + -8) (6 * -2 + p * -2) = 5(p + -8) (-12 + -2p) = 5(p + -8) Reorder the terms: -12 + -2p = 5(-8 + p) -12 + -2p = (-8 * 5 + p * 5) -12 + -2p = (-40 + 5p) Solving -12 + -2p = -40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -12 + -2p + -5p = -40 + 5p + -5p Combine like terms: -2p + -5p = -7p -12 + -7p = -40 + 5p + -5p Combine like terms: 5p + -5p = 0 -12 + -7p = -40 + 0 -12 + -7p = -40 Add '12' to each side of the equation. -12 + 12 + -7p = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -7p = -40 + 12 -7p = -40 + 12 Combine like terms: -40 + 12 = -28 -7p = -28 Divide each side by '-7'. p = 4 Simplifying p = 4
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