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Simplifying 17 = 3(p + -4) + 8 Reorder the terms: 17 = 3(-4 + p) + 8 17 = (-4 * 3 + p * 3) + 8 17 = (-12 + 3p) + 8 Reorder the terms: 17 = -12 + 8 + 3p Combine like terms: -12 + 8 = -4 17 = -4 + 3p Solving 17 = -4 + 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. 17 + -3p = -4 + 3p + -3p Combine like terms: 3p + -3p = 0 17 + -3p = -4 + 0 17 + -3p = -4 Add '-17' to each side of the equation. 17 + -17 + -3p = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -3p = -4 + -17 -3p = -4 + -17 Combine like terms: -4 + -17 = -21 -3p = -21 Divide each side by '-3'. p = 7 Simplifying p = 7
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