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Simplifying -3p + -5(2 + -2p) = 2(p + -6) + -18 -3p + (2 * -5 + -2p * -5) = 2(p + -6) + -18 -3p + (-10 + 10p) = 2(p + -6) + -18 Reorder the terms: -10 + -3p + 10p = 2(p + -6) + -18 Combine like terms: -3p + 10p = 7p -10 + 7p = 2(p + -6) + -18 Reorder the terms: -10 + 7p = 2(-6 + p) + -18 -10 + 7p = (-6 * 2 + p * 2) + -18 -10 + 7p = (-12 + 2p) + -18 Reorder the terms: -10 + 7p = -12 + -18 + 2p Combine like terms: -12 + -18 = -30 -10 + 7p = -30 + 2p Solving -10 + 7p = -30 + 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. -10 + 7p + -2p = -30 + 2p + -2p Combine like terms: 7p + -2p = 5p -10 + 5p = -30 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 5p = -30 + 0 -10 + 5p = -30 Add '10' to each side of the equation. -10 + 10 + 5p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 5p = -30 + 10 5p = -30 + 10 Combine like terms: -30 + 10 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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