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Simplifying -6(5p + 3) + -47 = 5(3p + 5) Reorder the terms: -6(3 + 5p) + -47 = 5(3p + 5) (3 * -6 + 5p * -6) + -47 = 5(3p + 5) (-18 + -30p) + -47 = 5(3p + 5) Reorder the terms: -18 + -47 + -30p = 5(3p + 5) Combine like terms: -18 + -47 = -65 -65 + -30p = 5(3p + 5) Reorder the terms: -65 + -30p = 5(5 + 3p) -65 + -30p = (5 * 5 + 3p * 5) -65 + -30p = (25 + 15p) Solving -65 + -30p = 25 + 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. -65 + -30p + -15p = 25 + 15p + -15p Combine like terms: -30p + -15p = -45p -65 + -45p = 25 + 15p + -15p Combine like terms: 15p + -15p = 0 -65 + -45p = 25 + 0 -65 + -45p = 25 Add '65' to each side of the equation. -65 + 65 + -45p = 25 + 65 Combine like terms: -65 + 65 = 0 0 + -45p = 25 + 65 -45p = 25 + 65 Combine like terms: 25 + 65 = 90 -45p = 90 Divide each side by '-45'. p = -2 Simplifying p = -2
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