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