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Simplifying 5(12 + -4p) = 7(p + -3) (12 * 5 + -4p * 5) = 7(p + -3) (60 + -20p) = 7(p + -3) Reorder the terms: 60 + -20p = 7(-3 + p) 60 + -20p = (-3 * 7 + p * 7) 60 + -20p = (-21 + 7p) Solving 60 + -20p = -21 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 60 + -20p + -7p = -21 + 7p + -7p Combine like terms: -20p + -7p = -27p 60 + -27p = -21 + 7p + -7p Combine like terms: 7p + -7p = 0 60 + -27p = -21 + 0 60 + -27p = -21 Add '-60' to each side of the equation. 60 + -60 + -27p = -21 + -60 Combine like terms: 60 + -60 = 0 0 + -27p = -21 + -60 -27p = -21 + -60 Combine like terms: -21 + -60 = -81 -27p = -81 Divide each side by '-27'. p = 3 Simplifying p = 3
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