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Simplifying 3(-4 + -6y) + 4(-1 + -5w) = 50 (-4 * 3 + -6y * 3) + 4(-1 + -5w) = 50 (-12 + -18y) + 4(-1 + -5w) = 50 -12 + -18y + (-1 * 4 + -5w * 4) = 50 -12 + -18y + (-4 + -20w) = 50 Reorder the terms: -12 + -4 + -20w + -18y = 50 Combine like terms: -12 + -4 = -16 -16 + -20w + -18y = 50 Solving -16 + -20w + -18y = 50 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -20w + 16 + -18y = 50 + 16 Reorder the terms: -16 + 16 + -20w + -18y = 50 + 16 Combine like terms: -16 + 16 = 0 0 + -20w + -18y = 50 + 16 -20w + -18y = 50 + 16 Combine like terms: 50 + 16 = 66 -20w + -18y = 66 Add '18y' to each side of the equation. -20w + -18y + 18y = 66 + 18y Combine like terms: -18y + 18y = 0 -20w + 0 = 66 + 18y -20w = 66 + 18y Divide each side by '-20'. w = -3.3 + -0.9y Simplifying w = -3.3 + -0.9y
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