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Simplifying -3(-4 + -6y) + 4(-1 + -5w) = 0 (-4 * -3 + -6y * -3) + 4(-1 + -5w) = 0 (12 + 18y) + 4(-1 + -5w) = 0 12 + 18y + (-1 * 4 + -5w * 4) = 0 12 + 18y + (-4 + -20w) = 0 Reorder the terms: 12 + -4 + -20w + 18y = 0 Combine like terms: 12 + -4 = 8 8 + -20w + 18y = 0 Solving 8 + -20w + 18y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -20w + -8 + 18y = 0 + -8 Reorder the terms: 8 + -8 + -20w + 18y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -20w + 18y = 0 + -8 -20w + 18y = 0 + -8 Combine like terms: 0 + -8 = -8 -20w + 18y = -8 Add '-18y' to each side of the equation. -20w + 18y + -18y = -8 + -18y Combine like terms: 18y + -18y = 0 -20w + 0 = -8 + -18y -20w = -8 + -18y Divide each side by '-20'. w = 0.4 + 0.9y Simplifying w = 0.4 + 0.9y
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