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Simplifying -8p + -3(4 + -5p) = 2(p + -2) + -43 -8p + (4 * -3 + -5p * -3) = 2(p + -2) + -43 -8p + (-12 + 15p) = 2(p + -2) + -43 Reorder the terms: -12 + -8p + 15p = 2(p + -2) + -43 Combine like terms: -8p + 15p = 7p -12 + 7p = 2(p + -2) + -43 Reorder the terms: -12 + 7p = 2(-2 + p) + -43 -12 + 7p = (-2 * 2 + p * 2) + -43 -12 + 7p = (-4 + 2p) + -43 Reorder the terms: -12 + 7p = -4 + -43 + 2p Combine like terms: -4 + -43 = -47 -12 + 7p = -47 + 2p Solving -12 + 7p = -47 + 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. -12 + 7p + -2p = -47 + 2p + -2p Combine like terms: 7p + -2p = 5p -12 + 5p = -47 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 5p = -47 + 0 -12 + 5p = -47 Add '12' to each side of the equation. -12 + 12 + 5p = -47 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -47 + 12 5p = -47 + 12 Combine like terms: -47 + 12 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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