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Simplifying 4(p + -3) = 8(p + 5) Reorder the terms: 4(-3 + p) = 8(p + 5) (-3 * 4 + p * 4) = 8(p + 5) (-12 + 4p) = 8(p + 5) Reorder the terms: -12 + 4p = 8(5 + p) -12 + 4p = (5 * 8 + p * 8) -12 + 4p = (40 + 8p) Solving -12 + 4p = 40 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -12 + 4p + -8p = 40 + 8p + -8p Combine like terms: 4p + -8p = -4p -12 + -4p = 40 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -4p = 40 + 0 -12 + -4p = 40 Add '12' to each side of the equation. -12 + 12 + -4p = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -4p = 40 + 12 -4p = 40 + 12 Combine like terms: 40 + 12 = 52 -4p = 52 Divide each side by '-4'. p = -13 Simplifying p = -13
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