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Simplifying -5(4p + 3) + -37 = 3(3p + 2) Reorder the terms: -5(3 + 4p) + -37 = 3(3p + 2) (3 * -5 + 4p * -5) + -37 = 3(3p + 2) (-15 + -20p) + -37 = 3(3p + 2) Reorder the terms: -15 + -37 + -20p = 3(3p + 2) Combine like terms: -15 + -37 = -52 -52 + -20p = 3(3p + 2) Reorder the terms: -52 + -20p = 3(2 + 3p) -52 + -20p = (2 * 3 + 3p * 3) -52 + -20p = (6 + 9p) Solving -52 + -20p = 6 + 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. -52 + -20p + -9p = 6 + 9p + -9p Combine like terms: -20p + -9p = -29p -52 + -29p = 6 + 9p + -9p Combine like terms: 9p + -9p = 0 -52 + -29p = 6 + 0 -52 + -29p = 6 Add '52' to each side of the equation. -52 + 52 + -29p = 6 + 52 Combine like terms: -52 + 52 = 0 0 + -29p = 6 + 52 -29p = 6 + 52 Combine like terms: 6 + 52 = 58 -29p = 58 Divide each side by '-29'. p = -2 Simplifying p = -2
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