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Simplifying -18p + -4(3 + -6p) = 3(p + -6) + -21 -18p + (3 * -4 + -6p * -4) = 3(p + -6) + -21 -18p + (-12 + 24p) = 3(p + -6) + -21 Reorder the terms: -12 + -18p + 24p = 3(p + -6) + -21 Combine like terms: -18p + 24p = 6p -12 + 6p = 3(p + -6) + -21 Reorder the terms: -12 + 6p = 3(-6 + p) + -21 -12 + 6p = (-6 * 3 + p * 3) + -21 -12 + 6p = (-18 + 3p) + -21 Reorder the terms: -12 + 6p = -18 + -21 + 3p Combine like terms: -18 + -21 = -39 -12 + 6p = -39 + 3p Solving -12 + 6p = -39 + 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. -12 + 6p + -3p = -39 + 3p + -3p Combine like terms: 6p + -3p = 3p -12 + 3p = -39 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 3p = -39 + 0 -12 + 3p = -39 Add '12' to each side of the equation. -12 + 12 + 3p = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 3p = -39 + 12 3p = -39 + 12 Combine like terms: -39 + 12 = -27 3p = -27 Divide each side by '3'. p = -9 Simplifying p = -9
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