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Simplifying 8p + 20 = 5(p + 6) + -16 Reorder the terms: 20 + 8p = 5(p + 6) + -16 Reorder the terms: 20 + 8p = 5(6 + p) + -16 20 + 8p = (6 * 5 + p * 5) + -16 20 + 8p = (30 + 5p) + -16 Reorder the terms: 20 + 8p = 30 + -16 + 5p Combine like terms: 30 + -16 = 14 20 + 8p = 14 + 5p Solving 20 + 8p = 14 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 20 + 8p + -5p = 14 + 5p + -5p Combine like terms: 8p + -5p = 3p 20 + 3p = 14 + 5p + -5p Combine like terms: 5p + -5p = 0 20 + 3p = 14 + 0 20 + 3p = 14 Add '-20' to each side of the equation. 20 + -20 + 3p = 14 + -20 Combine like terms: 20 + -20 = 0 0 + 3p = 14 + -20 3p = 14 + -20 Combine like terms: 14 + -20 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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