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Simplifying 3(2w + -1) + -1(5w + -4) = -9 Reorder the terms: 3(-1 + 2w) + -1(5w + -4) = -9 (-1 * 3 + 2w * 3) + -1(5w + -4) = -9 (-3 + 6w) + -1(5w + -4) = -9 Reorder the terms: -3 + 6w + -1(-4 + 5w) = -9 -3 + 6w + (-4 * -1 + 5w * -1) = -9 -3 + 6w + (4 + -5w) = -9 Reorder the terms: -3 + 4 + 6w + -5w = -9 Combine like terms: -3 + 4 = 1 1 + 6w + -5w = -9 Combine like terms: 6w + -5w = 1w 1 + 1w = -9 Solving 1 + 1w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1w = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = -9 + -1 1w = -9 + -1 Combine like terms: -9 + -1 = -10 1w = -10 Divide each side by '1'. w = -10 Simplifying w = -10
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