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Simplifying -5(4p + 3) + -37 = 2(5p + 4) Reorder the terms: -5(3 + 4p) + -37 = 2(5p + 4) (3 * -5 + 4p * -5) + -37 = 2(5p + 4) (-15 + -20p) + -37 = 2(5p + 4) Reorder the terms: -15 + -37 + -20p = 2(5p + 4) Combine like terms: -15 + -37 = -52 -52 + -20p = 2(5p + 4) Reorder the terms: -52 + -20p = 2(4 + 5p) -52 + -20p = (4 * 2 + 5p * 2) -52 + -20p = (8 + 10p) Solving -52 + -20p = 8 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -52 + -20p + -10p = 8 + 10p + -10p Combine like terms: -20p + -10p = -30p -52 + -30p = 8 + 10p + -10p Combine like terms: 10p + -10p = 0 -52 + -30p = 8 + 0 -52 + -30p = 8 Add '52' to each side of the equation. -52 + 52 + -30p = 8 + 52 Combine like terms: -52 + 52 = 0 0 + -30p = 8 + 52 -30p = 8 + 52 Combine like terms: 8 + 52 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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