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Simplifying -4(w + -6) + -1(-7w + -1) = 2w Reorder the terms: -4(-6 + w) + -1(-7w + -1) = 2w (-6 * -4 + w * -4) + -1(-7w + -1) = 2w (24 + -4w) + -1(-7w + -1) = 2w Reorder the terms: 24 + -4w + -1(-1 + -7w) = 2w 24 + -4w + (-1 * -1 + -7w * -1) = 2w 24 + -4w + (1 + 7w) = 2w Reorder the terms: 24 + 1 + -4w + 7w = 2w Combine like terms: 24 + 1 = 25 25 + -4w + 7w = 2w Combine like terms: -4w + 7w = 3w 25 + 3w = 2w Solving 25 + 3w = 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. 25 + 3w + -2w = 2w + -2w Combine like terms: 3w + -2w = 1w 25 + 1w = 2w + -2w Combine like terms: 2w + -2w = 0 25 + 1w = 0 Add '-25' to each side of the equation. 25 + -25 + 1w = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1w = 0 + -25 1w = 0 + -25 Combine like terms: 0 + -25 = -25 1w = -25 Divide each side by '1'. w = -25 Simplifying w = -25
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