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Simplifying -2(w + -4) + -1(9 + -6w) = 3w Reorder the terms: -2(-4 + w) + -1(9 + -6w) = 3w (-4 * -2 + w * -2) + -1(9 + -6w) = 3w (8 + -2w) + -1(9 + -6w) = 3w 8 + -2w + (9 * -1 + -6w * -1) = 3w 8 + -2w + (-9 + 6w) = 3w Reorder the terms: 8 + -9 + -2w + 6w = 3w Combine like terms: 8 + -9 = -1 -1 + -2w + 6w = 3w Combine like terms: -2w + 6w = 4w -1 + 4w = 3w Solving -1 + 4w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -1 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -1 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -1 + 1w = 0 Add '1' to each side of the equation. -1 + 1 + 1w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1w = 0 + 1 1w = 0 + 1 Combine like terms: 0 + 1 = 1 1w = 1 Divide each side by '1'. w = 1 Simplifying w = 1
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