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Simplifying -9p + 7 = 5(-10p + 3) + -6(-6 + -7p) Reorder the terms: 7 + -9p = 5(-10p + 3) + -6(-6 + -7p) Reorder the terms: 7 + -9p = 5(3 + -10p) + -6(-6 + -7p) 7 + -9p = (3 * 5 + -10p * 5) + -6(-6 + -7p) 7 + -9p = (15 + -50p) + -6(-6 + -7p) 7 + -9p = 15 + -50p + (-6 * -6 + -7p * -6) 7 + -9p = 15 + -50p + (36 + 42p) Reorder the terms: 7 + -9p = 15 + 36 + -50p + 42p Combine like terms: 15 + 36 = 51 7 + -9p = 51 + -50p + 42p Combine like terms: -50p + 42p = -8p 7 + -9p = 51 + -8p Solving 7 + -9p = 51 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 7 + -9p + 8p = 51 + -8p + 8p Combine like terms: -9p + 8p = -1p 7 + -1p = 51 + -8p + 8p Combine like terms: -8p + 8p = 0 7 + -1p = 51 + 0 7 + -1p = 51 Add '-7' to each side of the equation. 7 + -7 + -1p = 51 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 51 + -7 -1p = 51 + -7 Combine like terms: 51 + -7 = 44 -1p = 44 Divide each side by '-1'. p = -44 Simplifying p = -44
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