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Simplifying w + -4(w + -6) = -6 + -2w Reorder the terms: w + -4(-6 + w) = -6 + -2w w + (-6 * -4 + w * -4) = -6 + -2w w + (24 + -4w) = -6 + -2w Reorder the terms: 24 + w + -4w = -6 + -2w Combine like terms: w + -4w = -3w 24 + -3w = -6 + -2w Solving 24 + -3w = -6 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 24 + -3w + 2w = -6 + -2w + 2w Combine like terms: -3w + 2w = -1w 24 + -1w = -6 + -2w + 2w Combine like terms: -2w + 2w = 0 24 + -1w = -6 + 0 24 + -1w = -6 Add '-24' to each side of the equation. 24 + -24 + -1w = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -1w = -6 + -24 -1w = -6 + -24 Combine like terms: -6 + -24 = -30 -1w = -30 Divide each side by '-1'. w = 30 Simplifying w = 30
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