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Simplifying -1p + 9 = 5(-5p + -3) + 7(-4 + 4p) Reorder the terms: 9 + -1p = 5(-5p + -3) + 7(-4 + 4p) Reorder the terms: 9 + -1p = 5(-3 + -5p) + 7(-4 + 4p) 9 + -1p = (-3 * 5 + -5p * 5) + 7(-4 + 4p) 9 + -1p = (-15 + -25p) + 7(-4 + 4p) 9 + -1p = -15 + -25p + (-4 * 7 + 4p * 7) 9 + -1p = -15 + -25p + (-28 + 28p) Reorder the terms: 9 + -1p = -15 + -28 + -25p + 28p Combine like terms: -15 + -28 = -43 9 + -1p = -43 + -25p + 28p Combine like terms: -25p + 28p = 3p 9 + -1p = -43 + 3p Solving 9 + -1p = -43 + 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. 9 + -1p + -3p = -43 + 3p + -3p Combine like terms: -1p + -3p = -4p 9 + -4p = -43 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + -4p = -43 + 0 9 + -4p = -43 Add '-9' to each side of the equation. 9 + -9 + -4p = -43 + -9 Combine like terms: 9 + -9 = 0 0 + -4p = -43 + -9 -4p = -43 + -9 Combine like terms: -43 + -9 = -52 -4p = -52 Divide each side by '-4'. p = 13 Simplifying p = 13
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