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Simplifying -3(y + -1w) + 4(6w + 5y) = 0 Reorder the terms: -3(-1w + y) + 4(6w + 5y) = 0 (-1w * -3 + y * -3) + 4(6w + 5y) = 0 (3w + -3y) + 4(6w + 5y) = 0 3w + -3y + (6w * 4 + 5y * 4) = 0 3w + -3y + (24w + 20y) = 0 Reorder the terms: 3w + 24w + -3y + 20y = 0 Combine like terms: 3w + 24w = 27w 27w + -3y + 20y = 0 Combine like terms: -3y + 20y = 17y 27w + 17y = 0 Solving 27w + 17y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17y' to each side of the equation. 27w + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 27w + 0 = 0 + -17y 27w = 0 + -17y Remove the zero: 27w = -17y Divide each side by '27'. w = -0.6296296296y Simplifying w = -0.6296296296y
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