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Simplifying -17 + p = -6(-5p + -2) Reorder the terms: -17 + p = -6(-2 + -5p) -17 + p = (-2 * -6 + -5p * -6) -17 + p = (12 + 30p) Solving -17 + p = 12 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -17 + p + -30p = 12 + 30p + -30p Combine like terms: p + -30p = -29p -17 + -29p = 12 + 30p + -30p Combine like terms: 30p + -30p = 0 -17 + -29p = 12 + 0 -17 + -29p = 12 Add '17' to each side of the equation. -17 + 17 + -29p = 12 + 17 Combine like terms: -17 + 17 = 0 0 + -29p = 12 + 17 -29p = 12 + 17 Combine like terms: 12 + 17 = 29 -29p = 29 Divide each side by '-29'. p = -1 Simplifying p = -1
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