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Simplifying 7w + -2(w + 4) = 2(2w + -2) Reorder the terms: 7w + -2(4 + w) = 2(2w + -2) 7w + (4 * -2 + w * -2) = 2(2w + -2) 7w + (-8 + -2w) = 2(2w + -2) Reorder the terms: -8 + 7w + -2w = 2(2w + -2) Combine like terms: 7w + -2w = 5w -8 + 5w = 2(2w + -2) Reorder the terms: -8 + 5w = 2(-2 + 2w) -8 + 5w = (-2 * 2 + 2w * 2) -8 + 5w = (-4 + 4w) Solving -8 + 5w = -4 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -8 + 5w + -4w = -4 + 4w + -4w Combine like terms: 5w + -4w = 1w -8 + 1w = -4 + 4w + -4w Combine like terms: 4w + -4w = 0 -8 + 1w = -4 + 0 -8 + 1w = -4 Add '8' to each side of the equation. -8 + 8 + 1w = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 1w = -4 + 8 1w = -4 + 8 Combine like terms: -4 + 8 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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