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Simplifying 3 + -4(p + 5) = 5(p + 2) + -12 Reorder the terms: 3 + -4(5 + p) = 5(p + 2) + -12 3 + (5 * -4 + p * -4) = 5(p + 2) + -12 3 + (-20 + -4p) = 5(p + 2) + -12 Combine like terms: 3 + -20 = -17 -17 + -4p = 5(p + 2) + -12 Reorder the terms: -17 + -4p = 5(2 + p) + -12 -17 + -4p = (2 * 5 + p * 5) + -12 -17 + -4p = (10 + 5p) + -12 Reorder the terms: -17 + -4p = 10 + -12 + 5p Combine like terms: 10 + -12 = -2 -17 + -4p = -2 + 5p Solving -17 + -4p = -2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -17 + -4p + -5p = -2 + 5p + -5p Combine like terms: -4p + -5p = -9p -17 + -9p = -2 + 5p + -5p Combine like terms: 5p + -5p = 0 -17 + -9p = -2 + 0 -17 + -9p = -2 Add '17' to each side of the equation. -17 + 17 + -9p = -2 + 17 Combine like terms: -17 + 17 = 0 0 + -9p = -2 + 17 -9p = -2 + 17 Combine like terms: -2 + 17 = 15 -9p = 15 Divide each side by '-9'. p = -1.666666667 Simplifying p = -1.666666667
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