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Simplifying -2(6w + y) + -6(-3y + -3w) = 0 (6w * -2 + y * -2) + -6(-3y + -3w) = 0 (-12w + -2y) + -6(-3y + -3w) = 0 Reorder the terms: -12w + -2y + -6(-3w + -3y) = 0 -12w + -2y + (-3w * -6 + -3y * -6) = 0 -12w + -2y + (18w + 18y) = 0 Reorder the terms: -12w + 18w + -2y + 18y = 0 Combine like terms: -12w + 18w = 6w 6w + -2y + 18y = 0 Combine like terms: -2y + 18y = 16y 6w + 16y = 0 Solving 6w + 16y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16y' to each side of the equation. 6w + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 6w + 0 = 0 + -16y 6w = 0 + -16y Remove the zero: 6w = -16y Divide each side by '6'. w = -2.666666667y Simplifying w = -2.666666667y
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