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Simplifying -2(-5x + w) + -1(-4w + -3y) = 0 Reorder the terms: -2(w + -5x) + -1(-4w + -3y) = 0 (w * -2 + -5x * -2) + -1(-4w + -3y) = 0 (-2w + 10x) + -1(-4w + -3y) = 0 -2w + 10x + (-4w * -1 + -3y * -1) = 0 -2w + 10x + (4w + 3y) = 0 Reorder the terms: -2w + 4w + 10x + 3y = 0 Combine like terms: -2w + 4w = 2w 2w + 10x + 3y = 0 Solving 2w + 10x + 3y = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10x' to each side of the equation. 2w + 10x + -10x + 3y = 0 + -10x Combine like terms: 10x + -10x = 0 2w + 0 + 3y = 0 + -10x 2w + 3y = 0 + -10x Remove the zero: 2w + 3y = -10x Add '-3y' to each side of the equation. 2w + 3y + -3y = -10x + -3y Combine like terms: 3y + -3y = 0 2w + 0 = -10x + -3y 2w = -10x + -3y Divide each side by '2'. w = -5x + -1.5y Simplifying w = -5x + -1.5y
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