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Simplifying 4p + -16 = 8(p + 4) Reorder the terms: -16 + 4p = 8(p + 4) Reorder the terms: -16 + 4p = 8(4 + p) -16 + 4p = (4 * 8 + p * 8) -16 + 4p = (32 + 8p) Solving -16 + 4p = 32 + 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. -16 + 4p + -8p = 32 + 8p + -8p Combine like terms: 4p + -8p = -4p -16 + -4p = 32 + 8p + -8p Combine like terms: 8p + -8p = 0 -16 + -4p = 32 + 0 -16 + -4p = 32 Add '16' to each side of the equation. -16 + 16 + -4p = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -4p = 32 + 16 -4p = 32 + 16 Combine like terms: 32 + 16 = 48 -4p = 48 Divide each side by '-4'. p = -12 Simplifying p = -12
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