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Simplifying -2p + -3(6 + -3p) = 4(p + -6) + -12 -2p + (6 * -3 + -3p * -3) = 4(p + -6) + -12 -2p + (-18 + 9p) = 4(p + -6) + -12 Reorder the terms: -18 + -2p + 9p = 4(p + -6) + -12 Combine like terms: -2p + 9p = 7p -18 + 7p = 4(p + -6) + -12 Reorder the terms: -18 + 7p = 4(-6 + p) + -12 -18 + 7p = (-6 * 4 + p * 4) + -12 -18 + 7p = (-24 + 4p) + -12 Reorder the terms: -18 + 7p = -24 + -12 + 4p Combine like terms: -24 + -12 = -36 -18 + 7p = -36 + 4p Solving -18 + 7p = -36 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -18 + 7p + -4p = -36 + 4p + -4p Combine like terms: 7p + -4p = 3p -18 + 3p = -36 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 3p = -36 + 0 -18 + 3p = -36 Add '18' to each side of the equation. -18 + 18 + 3p = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -36 + 18 3p = -36 + 18 Combine like terms: -36 + 18 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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