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Simplifying 5p + -4p + -1(p + -2) = 3(p + 4) Reorder the terms: 5p + -4p + -1(-2 + p) = 3(p + 4) 5p + -4p + (-2 * -1 + p * -1) = 3(p + 4) 5p + -4p + (2 + -1p) = 3(p + 4) Reorder the terms: 2 + 5p + -4p + -1p = 3(p + 4) Combine like terms: 5p + -4p = 1p 2 + 1p + -1p = 3(p + 4) Combine like terms: 1p + -1p = 0 2 + 0 = 3(p + 4) 2 = 3(p + 4) Reorder the terms: 2 = 3(4 + p) 2 = (4 * 3 + p * 3) 2 = (12 + 3p) Solving 2 = 12 + 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. 2 + -3p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 2 + -3p = 12 + 0 2 + -3p = 12 Add '-2' to each side of the equation. 2 + -2 + -3p = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 12 + -2 -3p = 12 + -2 Combine like terms: 12 + -2 = 10 -3p = 10 Divide each side by '-3'. p = -3.333333333 Simplifying p = -3.333333333
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