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Simplifying 3(5p + -1) = 6(7 + 5p) Reorder the terms: 3(-1 + 5p) = 6(7 + 5p) (-1 * 3 + 5p * 3) = 6(7 + 5p) (-3 + 15p) = 6(7 + 5p) -3 + 15p = (7 * 6 + 5p * 6) -3 + 15p = (42 + 30p) Solving -3 + 15p = 42 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. -3 + 15p + -30p = 42 + 30p + -30p Combine like terms: 15p + -30p = -15p -3 + -15p = 42 + 30p + -30p Combine like terms: 30p + -30p = 0 -3 + -15p = 42 + 0 -3 + -15p = 42 Add '3' to each side of the equation. -3 + 3 + -15p = 42 + 3 Combine like terms: -3 + 3 = 0 0 + -15p = 42 + 3 -15p = 42 + 3 Combine like terms: 42 + 3 = 45 -15p = 45 Divide each side by '-15'. p = -3 Simplifying p = -3
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