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Simplifying -9(w + -4) + -1(-4w + -6) = -6w Reorder the terms: -9(-4 + w) + -1(-4w + -6) = -6w (-4 * -9 + w * -9) + -1(-4w + -6) = -6w (36 + -9w) + -1(-4w + -6) = -6w Reorder the terms: 36 + -9w + -1(-6 + -4w) = -6w 36 + -9w + (-6 * -1 + -4w * -1) = -6w 36 + -9w + (6 + 4w) = -6w Reorder the terms: 36 + 6 + -9w + 4w = -6w Combine like terms: 36 + 6 = 42 42 + -9w + 4w = -6w Combine like terms: -9w + 4w = -5w 42 + -5w = -6w Solving 42 + -5w = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 42 + -5w + 6w = -6w + 6w Combine like terms: -5w + 6w = 1w 42 + 1w = -6w + 6w Combine like terms: -6w + 6w = 0 42 + 1w = 0 Add '-42' to each side of the equation. 42 + -42 + 1w = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 1w = 0 + -42 1w = 0 + -42 Combine like terms: 0 + -42 = -42 1w = -42 Divide each side by '1'. w = -42 Simplifying w = -42
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