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Simplifying 4(3 + -5p) = -5(p + 3) (3 * 4 + -5p * 4) = -5(p + 3) (12 + -20p) = -5(p + 3) Reorder the terms: 12 + -20p = -5(3 + p) 12 + -20p = (3 * -5 + p * -5) 12 + -20p = (-15 + -5p) Solving 12 + -20p = -15 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 12 + -20p + 5p = -15 + -5p + 5p Combine like terms: -20p + 5p = -15p 12 + -15p = -15 + -5p + 5p Combine like terms: -5p + 5p = 0 12 + -15p = -15 + 0 12 + -15p = -15 Add '-12' to each side of the equation. 12 + -12 + -15p = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -15p = -15 + -12 -15p = -15 + -12 Combine like terms: -15 + -12 = -27 -15p = -27 Divide each side by '-15'. p = 1.8 Simplifying p = 1.8
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