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Simplifying 4(3p + -2) + -2(3w + -1) = 0 Reorder the terms: 4(-2 + 3p) + -2(3w + -1) = 0 (-2 * 4 + 3p * 4) + -2(3w + -1) = 0 (-8 + 12p) + -2(3w + -1) = 0 Reorder the terms: -8 + 12p + -2(-1 + 3w) = 0 -8 + 12p + (-1 * -2 + 3w * -2) = 0 -8 + 12p + (2 + -6w) = 0 Reorder the terms: -8 + 2 + 12p + -6w = 0 Combine like terms: -8 + 2 = -6 -6 + 12p + -6w = 0 Solving -6 + 12p + -6w = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 12p + 6 + -6w = 0 + 6 Reorder the terms: -6 + 6 + 12p + -6w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12p + -6w = 0 + 6 12p + -6w = 0 + 6 Combine like terms: 0 + 6 = 6 12p + -6w = 6 Add '6w' to each side of the equation. 12p + -6w + 6w = 6 + 6w Combine like terms: -6w + 6w = 0 12p + 0 = 6 + 6w 12p = 6 + 6w Divide each side by '12'. p = 0.5 + 0.5w Simplifying p = 0.5 + 0.5w
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