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Simplifying 8(p + -1) = 4(p + 3) Reorder the terms: 8(-1 + p) = 4(p + 3) (-1 * 8 + p * 8) = 4(p + 3) (-8 + 8p) = 4(p + 3) Reorder the terms: -8 + 8p = 4(3 + p) -8 + 8p = (3 * 4 + p * 4) -8 + 8p = (12 + 4p) Solving -8 + 8p = 12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -8 + 8p + -4p = 12 + 4p + -4p Combine like terms: 8p + -4p = 4p -8 + 4p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 4p = 12 + 0 -8 + 4p = 12 Add '8' to each side of the equation. -8 + 8 + 4p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4p = 12 + 8 4p = 12 + 8 Combine like terms: 12 + 8 = 20 4p = 20 Divide each side by '4'. p = 5 Simplifying p = 5
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