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Simplifying -7w + -7 = 6 + 5w + -2w Reorder the terms: -7 + -7w = 6 + 5w + -2w Combine like terms: 5w + -2w = 3w -7 + -7w = 6 + 3w Solving -7 + -7w = 6 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -7 + -7w + -3w = 6 + 3w + -3w Combine like terms: -7w + -3w = -10w -7 + -10w = 6 + 3w + -3w Combine like terms: 3w + -3w = 0 -7 + -10w = 6 + 0 -7 + -10w = 6 Add '7' to each side of the equation. -7 + 7 + -10w = 6 + 7 Combine like terms: -7 + 7 = 0 0 + -10w = 6 + 7 -10w = 6 + 7 Combine like terms: 6 + 7 = 13 -10w = 13 Divide each side by '-10'. w = -1.3 Simplifying w = -1.3
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