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Simplifying -3p + -2(4 + -5p) = 2(p + -5) + -18 -3p + (4 * -2 + -5p * -2) = 2(p + -5) + -18 -3p + (-8 + 10p) = 2(p + -5) + -18 Reorder the terms: -8 + -3p + 10p = 2(p + -5) + -18 Combine like terms: -3p + 10p = 7p -8 + 7p = 2(p + -5) + -18 Reorder the terms: -8 + 7p = 2(-5 + p) + -18 -8 + 7p = (-5 * 2 + p * 2) + -18 -8 + 7p = (-10 + 2p) + -18 Reorder the terms: -8 + 7p = -10 + -18 + 2p Combine like terms: -10 + -18 = -28 -8 + 7p = -28 + 2p Solving -8 + 7p = -28 + 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. -8 + 7p + -2p = -28 + 2p + -2p Combine like terms: 7p + -2p = 5p -8 + 5p = -28 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 5p = -28 + 0 -8 + 5p = -28 Add '8' to each side of the equation. -8 + 8 + 5p = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -28 + 8 5p = -28 + 8 Combine like terms: -28 + 8 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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