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Simplifying -2p + -3(6 + -3p) = 2(p + -4) + -40 -2p + (6 * -3 + -3p * -3) = 2(p + -4) + -40 -2p + (-18 + 9p) = 2(p + -4) + -40 Reorder the terms: -18 + -2p + 9p = 2(p + -4) + -40 Combine like terms: -2p + 9p = 7p -18 + 7p = 2(p + -4) + -40 Reorder the terms: -18 + 7p = 2(-4 + p) + -40 -18 + 7p = (-4 * 2 + p * 2) + -40 -18 + 7p = (-8 + 2p) + -40 Reorder the terms: -18 + 7p = -8 + -40 + 2p Combine like terms: -8 + -40 = -48 -18 + 7p = -48 + 2p Solving -18 + 7p = -48 + 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. -18 + 7p + -2p = -48 + 2p + -2p Combine like terms: 7p + -2p = 5p -18 + 5p = -48 + 2p + -2p Combine like terms: 2p + -2p = 0 -18 + 5p = -48 + 0 -18 + 5p = -48 Add '18' to each side of the equation. -18 + 18 + 5p = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -48 + 18 5p = -48 + 18 Combine like terms: -48 + 18 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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