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Simplifying -9p + -5(6 + -3p) = 3(p + -6) + -21 -9p + (6 * -5 + -3p * -5) = 3(p + -6) + -21 -9p + (-30 + 15p) = 3(p + -6) + -21 Reorder the terms: -30 + -9p + 15p = 3(p + -6) + -21 Combine like terms: -9p + 15p = 6p -30 + 6p = 3(p + -6) + -21 Reorder the terms: -30 + 6p = 3(-6 + p) + -21 -30 + 6p = (-6 * 3 + p * 3) + -21 -30 + 6p = (-18 + 3p) + -21 Reorder the terms: -30 + 6p = -18 + -21 + 3p Combine like terms: -18 + -21 = -39 -30 + 6p = -39 + 3p Solving -30 + 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. -30 + 6p + -3p = -39 + 3p + -3p Combine like terms: 6p + -3p = 3p -30 + 3p = -39 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 3p = -39 + 0 -30 + 3p = -39 Add '30' to each side of the equation. -30 + 30 + 3p = -39 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -39 + 30 3p = -39 + 30 Combine like terms: -39 + 30 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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