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Simplifying -8p + -5(5 + -3p) = 2(p + -2) + -11 -8p + (5 * -5 + -3p * -5) = 2(p + -2) + -11 -8p + (-25 + 15p) = 2(p + -2) + -11 Reorder the terms: -25 + -8p + 15p = 2(p + -2) + -11 Combine like terms: -8p + 15p = 7p -25 + 7p = 2(p + -2) + -11 Reorder the terms: -25 + 7p = 2(-2 + p) + -11 -25 + 7p = (-2 * 2 + p * 2) + -11 -25 + 7p = (-4 + 2p) + -11 Reorder the terms: -25 + 7p = -4 + -11 + 2p Combine like terms: -4 + -11 = -15 -25 + 7p = -15 + 2p Solving -25 + 7p = -15 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -25 + 7p + -2p = -15 + 2p + -2p Combine like terms: 7p + -2p = 5p -25 + 5p = -15 + 2p + -2p Combine like terms: 2p + -2p = 0 -25 + 5p = -15 + 0 -25 + 5p = -15 Add '25' to each side of the equation. -25 + 25 + 5p = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 5p = -15 + 25 5p = -15 + 25 Combine like terms: -15 + 25 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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