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Simplifying 4(3 + -5p) = -5(3p + -4) (3 * 4 + -5p * 4) = -5(3p + -4) (12 + -20p) = -5(3p + -4) Reorder the terms: 12 + -20p = -5(-4 + 3p) 12 + -20p = (-4 * -5 + 3p * -5) 12 + -20p = (20 + -15p) Solving 12 + -20p = 20 + -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. 12 + -20p + 15p = 20 + -15p + 15p Combine like terms: -20p + 15p = -5p 12 + -5p = 20 + -15p + 15p Combine like terms: -15p + 15p = 0 12 + -5p = 20 + 0 12 + -5p = 20 Add '-12' to each side of the equation. 12 + -12 + -5p = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -5p = 20 + -12 -5p = 20 + -12 Combine like terms: 20 + -12 = 8 -5p = 8 Divide each side by '-5'. p = -1.6 Simplifying p = -1.6
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