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Simplifying -1(5w + y) + 6(-1y + -3w) = 0 (5w * -1 + y * -1) + 6(-1y + -3w) = 0 (-5w + -1y) + 6(-1y + -3w) = 0 Reorder the terms: -5w + -1y + 6(-3w + -1y) = 0 -5w + -1y + (-3w * 6 + -1y * 6) = 0 -5w + -1y + (-18w + -6y) = 0 Reorder the terms: -5w + -18w + -1y + -6y = 0 Combine like terms: -5w + -18w = -23w -23w + -1y + -6y = 0 Combine like terms: -1y + -6y = -7y -23w + -7y = 0 Solving -23w + -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. -23w + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -23w + 0 = 0 + 7y -23w = 0 + 7y Remove the zero: -23w = 7y Divide each side by '-23'. w = -0.3043478261y Simplifying w = -0.3043478261y
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