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Simplifying -9p + -5(4 + -3p) = 3(p + -2) + -23 -9p + (4 * -5 + -3p * -5) = 3(p + -2) + -23 -9p + (-20 + 15p) = 3(p + -2) + -23 Reorder the terms: -20 + -9p + 15p = 3(p + -2) + -23 Combine like terms: -9p + 15p = 6p -20 + 6p = 3(p + -2) + -23 Reorder the terms: -20 + 6p = 3(-2 + p) + -23 -20 + 6p = (-2 * 3 + p * 3) + -23 -20 + 6p = (-6 + 3p) + -23 Reorder the terms: -20 + 6p = -6 + -23 + 3p Combine like terms: -6 + -23 = -29 -20 + 6p = -29 + 3p Solving -20 + 6p = -29 + 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. -20 + 6p + -3p = -29 + 3p + -3p Combine like terms: 6p + -3p = 3p -20 + 3p = -29 + 3p + -3p Combine like terms: 3p + -3p = 0 -20 + 3p = -29 + 0 -20 + 3p = -29 Add '20' to each side of the equation. -20 + 20 + 3p = -29 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -29 + 20 3p = -29 + 20 Combine like terms: -29 + 20 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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