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Simplifying 8 = 3(p + -9) + -10 Reorder the terms: 8 = 3(-9 + p) + -10 8 = (-9 * 3 + p * 3) + -10 8 = (-27 + 3p) + -10 Reorder the terms: 8 = -27 + -10 + 3p Combine like terms: -27 + -10 = -37 8 = -37 + 3p Solving 8 = -37 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + -3p = -37 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + -3p = -37 + 0 8 + -3p = -37 Add '-8' to each side of the equation. 8 + -8 + -3p = -37 + -8 Combine like terms: 8 + -8 = 0 0 + -3p = -37 + -8 -3p = -37 + -8 Combine like terms: -37 + -8 = -45 -3p = -45 Divide each side by '-3'. p = 15 Simplifying p = 15
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