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Simplifying -18p + -6(6 + -4p) = 3(p + -6) + -24 -18p + (6 * -6 + -4p * -6) = 3(p + -6) + -24 -18p + (-36 + 24p) = 3(p + -6) + -24 Reorder the terms: -36 + -18p + 24p = 3(p + -6) + -24 Combine like terms: -18p + 24p = 6p -36 + 6p = 3(p + -6) + -24 Reorder the terms: -36 + 6p = 3(-6 + p) + -24 -36 + 6p = (-6 * 3 + p * 3) + -24 -36 + 6p = (-18 + 3p) + -24 Reorder the terms: -36 + 6p = -18 + -24 + 3p Combine like terms: -18 + -24 = -42 -36 + 6p = -42 + 3p Solving -36 + 6p = -42 + 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. -36 + 6p + -3p = -42 + 3p + -3p Combine like terms: 6p + -3p = 3p -36 + 3p = -42 + 3p + -3p Combine like terms: 3p + -3p = 0 -36 + 3p = -42 + 0 -36 + 3p = -42 Add '36' to each side of the equation. -36 + 36 + 3p = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 3p = -42 + 36 3p = -42 + 36 Combine like terms: -42 + 36 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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