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Simplifying -3p + -9 = -6(3p + -7) + 3(10 + 8p) Reorder the terms: -9 + -3p = -6(3p + -7) + 3(10 + 8p) Reorder the terms: -9 + -3p = -6(-7 + 3p) + 3(10 + 8p) -9 + -3p = (-7 * -6 + 3p * -6) + 3(10 + 8p) -9 + -3p = (42 + -18p) + 3(10 + 8p) -9 + -3p = 42 + -18p + (10 * 3 + 8p * 3) -9 + -3p = 42 + -18p + (30 + 24p) Reorder the terms: -9 + -3p = 42 + 30 + -18p + 24p Combine like terms: 42 + 30 = 72 -9 + -3p = 72 + -18p + 24p Combine like terms: -18p + 24p = 6p -9 + -3p = 72 + 6p Solving -9 + -3p = 72 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -9 + -3p + -6p = 72 + 6p + -6p Combine like terms: -3p + -6p = -9p -9 + -9p = 72 + 6p + -6p Combine like terms: 6p + -6p = 0 -9 + -9p = 72 + 0 -9 + -9p = 72 Add '9' to each side of the equation. -9 + 9 + -9p = 72 + 9 Combine like terms: -9 + 9 = 0 0 + -9p = 72 + 9 -9p = 72 + 9 Combine like terms: 72 + 9 = 81 -9p = 81 Divide each side by '-9'. p = -9 Simplifying p = -9
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