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Simplifying 4(3 + -5p) = -4(3p + 3) (3 * 4 + -5p * 4) = -4(3p + 3) (12 + -20p) = -4(3p + 3) Reorder the terms: 12 + -20p = -4(3 + 3p) 12 + -20p = (3 * -4 + 3p * -4) 12 + -20p = (-12 + -12p) Solving 12 + -20p = -12 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 12 + -20p + 12p = -12 + -12p + 12p Combine like terms: -20p + 12p = -8p 12 + -8p = -12 + -12p + 12p Combine like terms: -12p + 12p = 0 12 + -8p = -12 + 0 12 + -8p = -12 Add '-12' to each side of the equation. 12 + -12 + -8p = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8p = -12 + -12 -8p = -12 + -12 Combine like terms: -12 + -12 = -24 -8p = -24 Divide each side by '-8'. p = 3 Simplifying p = 3
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