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Simplifying 4(3p + -2) + -5(3w + -1) = 0 Reorder the terms: 4(-2 + 3p) + -5(3w + -1) = 0 (-2 * 4 + 3p * 4) + -5(3w + -1) = 0 (-8 + 12p) + -5(3w + -1) = 0 Reorder the terms: -8 + 12p + -5(-1 + 3w) = 0 -8 + 12p + (-1 * -5 + 3w * -5) = 0 -8 + 12p + (5 + -15w) = 0 Reorder the terms: -8 + 5 + 12p + -15w = 0 Combine like terms: -8 + 5 = -3 -3 + 12p + -15w = 0 Solving -3 + 12p + -15w = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 12p + 3 + -15w = 0 + 3 Reorder the terms: -3 + 3 + 12p + -15w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 12p + -15w = 0 + 3 12p + -15w = 0 + 3 Combine like terms: 0 + 3 = 3 12p + -15w = 3 Add '15w' to each side of the equation. 12p + -15w + 15w = 3 + 15w Combine like terms: -15w + 15w = 0 12p + 0 = 3 + 15w 12p = 3 + 15w Divide each side by '12'. p = 0.25 + 1.25w Simplifying p = 0.25 + 1.25w
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