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Simplifying -14 + 6w + 7 + -2w = 1 + 5w Reorder the terms: -14 + 7 + 6w + -2w = 1 + 5w Combine like terms: -14 + 7 = -7 -7 + 6w + -2w = 1 + 5w Combine like terms: 6w + -2w = 4w -7 + 4w = 1 + 5w Solving -7 + 4w = 1 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -7 + 4w + -5w = 1 + 5w + -5w Combine like terms: 4w + -5w = -1w -7 + -1w = 1 + 5w + -5w Combine like terms: 5w + -5w = 0 -7 + -1w = 1 + 0 -7 + -1w = 1 Add '7' to each side of the equation. -7 + 7 + -1w = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1w = 1 + 7 -1w = 1 + 7 Combine like terms: 1 + 7 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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