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Simplifying -18p + -6(5 + -4p) = 3(p + -6) + -6 -18p + (5 * -6 + -4p * -6) = 3(p + -6) + -6 -18p + (-30 + 24p) = 3(p + -6) + -6 Reorder the terms: -30 + -18p + 24p = 3(p + -6) + -6 Combine like terms: -18p + 24p = 6p -30 + 6p = 3(p + -6) + -6 Reorder the terms: -30 + 6p = 3(-6 + p) + -6 -30 + 6p = (-6 * 3 + p * 3) + -6 -30 + 6p = (-18 + 3p) + -6 Reorder the terms: -30 + 6p = -18 + -6 + 3p Combine like terms: -18 + -6 = -24 -30 + 6p = -24 + 3p Solving -30 + 6p = -24 + 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. -30 + 6p + -3p = -24 + 3p + -3p Combine like terms: 6p + -3p = 3p -30 + 3p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 3p = -24 + 0 -30 + 3p = -24 Add '30' to each side of the equation. -30 + 30 + 3p = -24 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -24 + 30 3p = -24 + 30 Combine like terms: -24 + 30 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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