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Simplifying -3p + -2(6 + -5p) = 2(p + -5) + -42 -3p + (6 * -2 + -5p * -2) = 2(p + -5) + -42 -3p + (-12 + 10p) = 2(p + -5) + -42 Reorder the terms: -12 + -3p + 10p = 2(p + -5) + -42 Combine like terms: -3p + 10p = 7p -12 + 7p = 2(p + -5) + -42 Reorder the terms: -12 + 7p = 2(-5 + p) + -42 -12 + 7p = (-5 * 2 + p * 2) + -42 -12 + 7p = (-10 + 2p) + -42 Reorder the terms: -12 + 7p = -10 + -42 + 2p Combine like terms: -10 + -42 = -52 -12 + 7p = -52 + 2p Solving -12 + 7p = -52 + 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 = -52 + 2p + -2p Combine like terms: 7p + -2p = 5p -12 + 5p = -52 + 2p + -2p Combine like terms: 2p + -2p = 0 -12 + 5p = -52 + 0 -12 + 5p = -52 Add '12' to each side of the equation. -12 + 12 + 5p = -52 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -52 + 12 5p = -52 + 12 Combine like terms: -52 + 12 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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