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Simplifying 4p + 7 = 5(-3p + -9) + -2(-8 + -9p) Reorder the terms: 7 + 4p = 5(-3p + -9) + -2(-8 + -9p) Reorder the terms: 7 + 4p = 5(-9 + -3p) + -2(-8 + -9p) 7 + 4p = (-9 * 5 + -3p * 5) + -2(-8 + -9p) 7 + 4p = (-45 + -15p) + -2(-8 + -9p) 7 + 4p = -45 + -15p + (-8 * -2 + -9p * -2) 7 + 4p = -45 + -15p + (16 + 18p) Reorder the terms: 7 + 4p = -45 + 16 + -15p + 18p Combine like terms: -45 + 16 = -29 7 + 4p = -29 + -15p + 18p Combine like terms: -15p + 18p = 3p 7 + 4p = -29 + 3p Solving 7 + 4p = -29 + 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. 7 + 4p + -3p = -29 + 3p + -3p Combine like terms: 4p + -3p = 1p 7 + 1p = -29 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + 1p = -29 + 0 7 + 1p = -29 Add '-7' to each side of the equation. 7 + -7 + 1p = -29 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = -29 + -7 1p = -29 + -7 Combine like terms: -29 + -7 = -36 1p = -36 Divide each side by '1'. p = -36 Simplifying p = -36
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