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Simplifying -1(-1w + -1y) + -3(-5y + -2w) = 0 (-1w * -1 + -1y * -1) + -3(-5y + -2w) = 0 (1w + 1y) + -3(-5y + -2w) = 0 Reorder the terms: 1w + 1y + -3(-2w + -5y) = 0 1w + 1y + (-2w * -3 + -5y * -3) = 0 1w + 1y + (6w + 15y) = 0 Reorder the terms: 1w + 6w + 1y + 15y = 0 Combine like terms: 1w + 6w = 7w 7w + 1y + 15y = 0 Combine like terms: 1y + 15y = 16y 7w + 16y = 0 Solving 7w + 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. 7w + 16y + -16y = 0 + -16y Combine like terms: 16y + -16y = 0 7w + 0 = 0 + -16y 7w = 0 + -16y Remove the zero: 7w = -16y Divide each side by '7'. w = -2.285714286y Simplifying w = -2.285714286y
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