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Simplifying -5(4p + 2) + -39 = 3(3p + 3) Reorder the terms: -5(2 + 4p) + -39 = 3(3p + 3) (2 * -5 + 4p * -5) + -39 = 3(3p + 3) (-10 + -20p) + -39 = 3(3p + 3) Reorder the terms: -10 + -39 + -20p = 3(3p + 3) Combine like terms: -10 + -39 = -49 -49 + -20p = 3(3p + 3) Reorder the terms: -49 + -20p = 3(3 + 3p) -49 + -20p = (3 * 3 + 3p * 3) -49 + -20p = (9 + 9p) Solving -49 + -20p = 9 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -49 + -20p + -9p = 9 + 9p + -9p Combine like terms: -20p + -9p = -29p -49 + -29p = 9 + 9p + -9p Combine like terms: 9p + -9p = 0 -49 + -29p = 9 + 0 -49 + -29p = 9 Add '49' to each side of the equation. -49 + 49 + -29p = 9 + 49 Combine like terms: -49 + 49 = 0 0 + -29p = 9 + 49 -29p = 9 + 49 Combine like terms: 9 + 49 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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