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Simplifying -7p + 8 = -2(-8p + 5) + -8(-5 + 39) Reorder the terms: 8 + -7p = -2(-8p + 5) + -8(-5 + 39) Reorder the terms: 8 + -7p = -2(5 + -8p) + -8(-5 + 39) 8 + -7p = (5 * -2 + -8p * -2) + -8(-5 + 39) 8 + -7p = (-10 + 16p) + -8(-5 + 39) Combine like terms: -5 + 39 = 34 8 + -7p = -10 + 16p + -8(34) Multiply -8 * 34 8 + -7p = -10 + 16p + -272 Reorder the terms: 8 + -7p = -10 + -272 + 16p Combine like terms: -10 + -272 = -282 8 + -7p = -282 + 16p Solving 8 + -7p = -282 + 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. 8 + -7p + -16p = -282 + 16p + -16p Combine like terms: -7p + -16p = -23p 8 + -23p = -282 + 16p + -16p Combine like terms: 16p + -16p = 0 8 + -23p = -282 + 0 8 + -23p = -282 Add '-8' to each side of the equation. 8 + -8 + -23p = -282 + -8 Combine like terms: 8 + -8 = 0 0 + -23p = -282 + -8 -23p = -282 + -8 Combine like terms: -282 + -8 = -290 -23p = -290 Divide each side by '-23'. p = 12.60869565 Simplifying p = 12.60869565
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