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Simplifying -7(4p + 3) + -47 = 3(5p + 6) Reorder the terms: -7(3 + 4p) + -47 = 3(5p + 6) (3 * -7 + 4p * -7) + -47 = 3(5p + 6) (-21 + -28p) + -47 = 3(5p + 6) Reorder the terms: -21 + -47 + -28p = 3(5p + 6) Combine like terms: -21 + -47 = -68 -68 + -28p = 3(5p + 6) Reorder the terms: -68 + -28p = 3(6 + 5p) -68 + -28p = (6 * 3 + 5p * 3) -68 + -28p = (18 + 15p) Solving -68 + -28p = 18 + 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. -68 + -28p + -15p = 18 + 15p + -15p Combine like terms: -28p + -15p = -43p -68 + -43p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -68 + -43p = 18 + 0 -68 + -43p = 18 Add '68' to each side of the equation. -68 + 68 + -43p = 18 + 68 Combine like terms: -68 + 68 = 0 0 + -43p = 18 + 68 -43p = 18 + 68 Combine like terms: 18 + 68 = 86 -43p = 86 Divide each side by '-43'. p = -2 Simplifying p = -2
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