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Simplifying -5(p + -3) + -7(3p + -4) = 17 Reorder the terms: -5(-3 + p) + -7(3p + -4) = 17 (-3 * -5 + p * -5) + -7(3p + -4) = 17 (15 + -5p) + -7(3p + -4) = 17 Reorder the terms: 15 + -5p + -7(-4 + 3p) = 17 15 + -5p + (-4 * -7 + 3p * -7) = 17 15 + -5p + (28 + -21p) = 17 Reorder the terms: 15 + 28 + -5p + -21p = 17 Combine like terms: 15 + 28 = 43 43 + -5p + -21p = 17 Combine like terms: -5p + -21p = -26p 43 + -26p = 17 Solving 43 + -26p = 17 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -26p = 17 + -43 Combine like terms: 43 + -43 = 0 0 + -26p = 17 + -43 -26p = 17 + -43 Combine like terms: 17 + -43 = -26 -26p = -26 Divide each side by '-26'. p = 1 Simplifying p = 1
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