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Simplifying 6w + 3(4w + -2) = w + -3 Reorder the terms: 6w + 3(-2 + 4w) = w + -3 6w + (-2 * 3 + 4w * 3) = w + -3 6w + (-6 + 12w) = w + -3 Reorder the terms: -6 + 6w + 12w = w + -3 Combine like terms: 6w + 12w = 18w -6 + 18w = w + -3 Reorder the terms: -6 + 18w = -3 + w Solving -6 + 18w = -3 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -6 + 18w + -1w = -3 + w + -1w Combine like terms: 18w + -1w = 17w -6 + 17w = -3 + w + -1w Combine like terms: w + -1w = 0 -6 + 17w = -3 + 0 -6 + 17w = -3 Add '6' to each side of the equation. -6 + 6 + 17w = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 17w = -3 + 6 17w = -3 + 6 Combine like terms: -3 + 6 = 3 17w = 3 Divide each side by '17'. w = 0.1764705882 Simplifying w = 0.1764705882
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