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Simplifying -3p + -9 = -3(-5p + -9) + -8(-3 + 2p) Reorder the terms: -9 + -3p = -3(-5p + -9) + -8(-3 + 2p) Reorder the terms: -9 + -3p = -3(-9 + -5p) + -8(-3 + 2p) -9 + -3p = (-9 * -3 + -5p * -3) + -8(-3 + 2p) -9 + -3p = (27 + 15p) + -8(-3 + 2p) -9 + -3p = 27 + 15p + (-3 * -8 + 2p * -8) -9 + -3p = 27 + 15p + (24 + -16p) Reorder the terms: -9 + -3p = 27 + 24 + 15p + -16p Combine like terms: 27 + 24 = 51 -9 + -3p = 51 + 15p + -16p Combine like terms: 15p + -16p = -1p -9 + -3p = 51 + -1p Solving -9 + -3p = 51 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -9 + -3p + p = 51 + -1p + p Combine like terms: -3p + p = -2p -9 + -2p = 51 + -1p + p Combine like terms: -1p + p = 0 -9 + -2p = 51 + 0 -9 + -2p = 51 Add '9' to each side of the equation. -9 + 9 + -2p = 51 + 9 Combine like terms: -9 + 9 = 0 0 + -2p = 51 + 9 -2p = 51 + 9 Combine like terms: 51 + 9 = 60 -2p = 60 Divide each side by '-2'. p = -30 Simplifying p = -30
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