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Simplifying -5(3p + 2) + -38 = 3(5p + 4) Reorder the terms: -5(2 + 3p) + -38 = 3(5p + 4) (2 * -5 + 3p * -5) + -38 = 3(5p + 4) (-10 + -15p) + -38 = 3(5p + 4) Reorder the terms: -10 + -38 + -15p = 3(5p + 4) Combine like terms: -10 + -38 = -48 -48 + -15p = 3(5p + 4) Reorder the terms: -48 + -15p = 3(4 + 5p) -48 + -15p = (4 * 3 + 5p * 3) -48 + -15p = (12 + 15p) Solving -48 + -15p = 12 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -48 + -15p + -15p = 12 + 15p + -15p Combine like terms: -15p + -15p = -30p -48 + -30p = 12 + 15p + -15p Combine like terms: 15p + -15p = 0 -48 + -30p = 12 + 0 -48 + -30p = 12 Add '48' to each side of the equation. -48 + 48 + -30p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -30p = 12 + 48 -30p = 12 + 48 Combine like terms: 12 + 48 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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