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Simplifying -2(-6w + 7) + -2w = 2(w + -1) + -2 Reorder the terms: -2(7 + -6w) + -2w = 2(w + -1) + -2 (7 * -2 + -6w * -2) + -2w = 2(w + -1) + -2 (-14 + 12w) + -2w = 2(w + -1) + -2 Combine like terms: 12w + -2w = 10w -14 + 10w = 2(w + -1) + -2 Reorder the terms: -14 + 10w = 2(-1 + w) + -2 -14 + 10w = (-1 * 2 + w * 2) + -2 -14 + 10w = (-2 + 2w) + -2 Reorder the terms: -14 + 10w = -2 + -2 + 2w Combine like terms: -2 + -2 = -4 -14 + 10w = -4 + 2w Solving -14 + 10w = -4 + 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. -14 + 10w + -2w = -4 + 2w + -2w Combine like terms: 10w + -2w = 8w -14 + 8w = -4 + 2w + -2w Combine like terms: 2w + -2w = 0 -14 + 8w = -4 + 0 -14 + 8w = -4 Add '14' to each side of the equation. -14 + 14 + 8w = -4 + 14 Combine like terms: -14 + 14 = 0 0 + 8w = -4 + 14 8w = -4 + 14 Combine like terms: -4 + 14 = 10 8w = 10 Divide each side by '8'. w = 1.25 Simplifying w = 1.25
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