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Simplifying -1(6w + y) + -3(2y + 6w) = 0 (6w * -1 + y * -1) + -3(2y + 6w) = 0 (-6w + -1y) + -3(2y + 6w) = 0 Reorder the terms: -6w + -1y + -3(6w + 2y) = 0 -6w + -1y + (6w * -3 + 2y * -3) = 0 -6w + -1y + (-18w + -6y) = 0 Reorder the terms: -6w + -18w + -1y + -6y = 0 Combine like terms: -6w + -18w = -24w -24w + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y -24w + -7y = 0 Solving -24w + -7y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7y' to each side of the equation. -24w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -24w + 0 = 0 + 7y -24w = 0 + 7y Remove the zero: -24w = 7y Divide each side by '-24'. w = -0.2916666667y Simplifying w = -0.2916666667y
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