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Simplifying -7p + -2(5 + -6p) = 3(p + -2) + -18 -7p + (5 * -2 + -6p * -2) = 3(p + -2) + -18 -7p + (-10 + 12p) = 3(p + -2) + -18 Reorder the terms: -10 + -7p + 12p = 3(p + -2) + -18 Combine like terms: -7p + 12p = 5p -10 + 5p = 3(p + -2) + -18 Reorder the terms: -10 + 5p = 3(-2 + p) + -18 -10 + 5p = (-2 * 3 + p * 3) + -18 -10 + 5p = (-6 + 3p) + -18 Reorder the terms: -10 + 5p = -6 + -18 + 3p Combine like terms: -6 + -18 = -24 -10 + 5p = -24 + 3p Solving -10 + 5p = -24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -10 + 5p + -3p = -24 + 3p + -3p Combine like terms: 5p + -3p = 2p -10 + 2p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -10 + 2p = -24 + 0 -10 + 2p = -24 Add '10' to each side of the equation. -10 + 10 + 2p = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -24 + 10 2p = -24 + 10 Combine like terms: -24 + 10 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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