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Simplifying 3p + -12 = 10 + 8(p + 10) Reorder the terms: -12 + 3p = 10 + 8(p + 10) Reorder the terms: -12 + 3p = 10 + 8(10 + p) -12 + 3p = 10 + (10 * 8 + p * 8) -12 + 3p = 10 + (80 + 8p) Combine like terms: 10 + 80 = 90 -12 + 3p = 90 + 8p Solving -12 + 3p = 90 + 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 + 3p + -8p = 90 + 8p + -8p Combine like terms: 3p + -8p = -5p -12 + -5p = 90 + 8p + -8p Combine like terms: 8p + -8p = 0 -12 + -5p = 90 + 0 -12 + -5p = 90 Add '12' to each side of the equation. -12 + 12 + -5p = 90 + 12 Combine like terms: -12 + 12 = 0 0 + -5p = 90 + 12 -5p = 90 + 12 Combine like terms: 90 + 12 = 102 -5p = 102 Divide each side by '-5'. p = -20.4 Simplifying p = -20.4
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