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Simplifying -4(w + 7) + -1(-7w + -3) = 2w Reorder the terms: -4(7 + w) + -1(-7w + -3) = 2w (7 * -4 + w * -4) + -1(-7w + -3) = 2w (-28 + -4w) + -1(-7w + -3) = 2w Reorder the terms: -28 + -4w + -1(-3 + -7w) = 2w -28 + -4w + (-3 * -1 + -7w * -1) = 2w -28 + -4w + (3 + 7w) = 2w Reorder the terms: -28 + 3 + -4w + 7w = 2w Combine like terms: -28 + 3 = -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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