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Simplifying 16 + 3p = 8(p + 7) Reorder the terms: 16 + 3p = 8(7 + p) 16 + 3p = (7 * 8 + p * 8) 16 + 3p = (56 + 8p) Solving 16 + 3p = 56 + 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 + 3p + -8p = 56 + 8p + -8p Combine like terms: 3p + -8p = -5p 16 + -5p = 56 + 8p + -8p Combine like terms: 8p + -8p = 0 16 + -5p = 56 + 0 16 + -5p = 56 Add '-16' to each side of the equation. 16 + -16 + -5p = 56 + -16 Combine like terms: 16 + -16 = 0 0 + -5p = 56 + -16 -5p = 56 + -16 Combine like terms: 56 + -16 = 40 -5p = 40 Divide each side by '-5'. p = -8 Simplifying p = -8
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