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Simplifying 8w + -8 + -6w = 5w + -7 Reorder the terms: -8 + 8w + -6w = 5w + -7 Combine like terms: 8w + -6w = 2w -8 + 2w = 5w + -7 Reorder the terms: -8 + 2w = -7 + 5w Solving -8 + 2w = -7 + 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. -8 + 2w + -5w = -7 + 5w + -5w Combine like terms: 2w + -5w = -3w -8 + -3w = -7 + 5w + -5w Combine like terms: 5w + -5w = 0 -8 + -3w = -7 + 0 -8 + -3w = -7 Add '8' to each side of the equation. -8 + 8 + -3w = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -3w = -7 + 8 -3w = -7 + 8 Combine like terms: -7 + 8 = 1 -3w = 1 Divide each side by '-3'. w = -0.3333333333 Simplifying w = -0.3333333333
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