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Simplifying -2p + -5(6 + -2p) = 3(p + -2) + -9 -2p + (6 * -5 + -2p * -5) = 3(p + -2) + -9 -2p + (-30 + 10p) = 3(p + -2) + -9 Reorder the terms: -30 + -2p + 10p = 3(p + -2) + -9 Combine like terms: -2p + 10p = 8p -30 + 8p = 3(p + -2) + -9 Reorder the terms: -30 + 8p = 3(-2 + p) + -9 -30 + 8p = (-2 * 3 + p * 3) + -9 -30 + 8p = (-6 + 3p) + -9 Reorder the terms: -30 + 8p = -6 + -9 + 3p Combine like terms: -6 + -9 = -15 -30 + 8p = -15 + 3p Solving -30 + 8p = -15 + 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. -30 + 8p + -3p = -15 + 3p + -3p Combine like terms: 8p + -3p = 5p -30 + 5p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 5p = -15 + 0 -30 + 5p = -15 Add '30' to each side of the equation. -30 + 30 + 5p = -15 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -15 + 30 5p = -15 + 30 Combine like terms: -15 + 30 = 15 5p = 15 Divide each side by '5'. p = 3 Simplifying p = 3
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