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Simplifying -17 = 3(p + -4) + 1 Reorder the terms: -17 = 3(-4 + p) + 1 -17 = (-4 * 3 + p * 3) + 1 -17 = (-12 + 3p) + 1 Reorder the terms: -17 = -12 + 1 + 3p Combine like terms: -12 + 1 = -11 -17 = -11 + 3p Solving -17 = -11 + 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 = -11 + 3p + -3p Combine like terms: 3p + -3p = 0 -17 + -3p = -11 + 0 -17 + -3p = -11 Add '17' to each side of the equation. -17 + 17 + -3p = -11 + 17 Combine like terms: -17 + 17 = 0 0 + -3p = -11 + 17 -3p = -11 + 17 Combine like terms: -11 + 17 = 6 -3p = 6 Divide each side by '-3'. p = -2 Simplifying p = -2
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