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Simplifying -12p + -3(6 + -6p) = 3(p + -5) + -12 -12p + (6 * -3 + -6p * -3) = 3(p + -5) + -12 -12p + (-18 + 18p) = 3(p + -5) + -12 Reorder the terms: -18 + -12p + 18p = 3(p + -5) + -12 Combine like terms: -12p + 18p = 6p -18 + 6p = 3(p + -5) + -12 Reorder the terms: -18 + 6p = 3(-5 + p) + -12 -18 + 6p = (-5 * 3 + p * 3) + -12 -18 + 6p = (-15 + 3p) + -12 Reorder the terms: -18 + 6p = -15 + -12 + 3p Combine like terms: -15 + -12 = -27 -18 + 6p = -27 + 3p Solving -18 + 6p = -27 + 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. -18 + 6p + -3p = -27 + 3p + -3p Combine like terms: 6p + -3p = 3p -18 + 3p = -27 + 3p + -3p Combine like terms: 3p + -3p = 0 -18 + 3p = -27 + 0 -18 + 3p = -27 Add '18' to each side of the equation. -18 + 18 + 3p = -27 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -27 + 18 3p = -27 + 18 Combine like terms: -27 + 18 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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