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Simplifying 7(p + -8) = 3(p + 4) Reorder the terms: 7(-8 + p) = 3(p + 4) (-8 * 7 + p * 7) = 3(p + 4) (-56 + 7p) = 3(p + 4) Reorder the terms: -56 + 7p = 3(4 + p) -56 + 7p = (4 * 3 + p * 3) -56 + 7p = (12 + 3p) Solving -56 + 7p = 12 + 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. -56 + 7p + -3p = 12 + 3p + -3p Combine like terms: 7p + -3p = 4p -56 + 4p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 -56 + 4p = 12 + 0 -56 + 4p = 12 Add '56' to each side of the equation. -56 + 56 + 4p = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 4p = 12 + 56 4p = 12 + 56 Combine like terms: 12 + 56 = 68 4p = 68 Divide each side by '4'. p = 17 Simplifying p = 17
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