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Simplifying 7(1 + -3p) = 1 + 12(-4p + 5) (1 * 7 + -3p * 7) = 1 + 12(-4p + 5) (7 + -21p) = 1 + 12(-4p + 5) Reorder the terms: 7 + -21p = 1 + 12(5 + -4p) 7 + -21p = 1 + (5 * 12 + -4p * 12) 7 + -21p = 1 + (60 + -48p) Combine like terms: 1 + 60 = 61 7 + -21p = 61 + -48p Solving 7 + -21p = 61 + -48p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '48p' to each side of the equation. 7 + -21p + 48p = 61 + -48p + 48p Combine like terms: -21p + 48p = 27p 7 + 27p = 61 + -48p + 48p Combine like terms: -48p + 48p = 0 7 + 27p = 61 + 0 7 + 27p = 61 Add '-7' to each side of the equation. 7 + -7 + 27p = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 27p = 61 + -7 27p = 61 + -7 Combine like terms: 61 + -7 = 54 27p = 54 Divide each side by '27'. p = 2 Simplifying p = 2
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