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Simplifying 6w + 3 + -10w = 7w + 8 Reorder the terms: 3 + 6w + -10w = 7w + 8 Combine like terms: 6w + -10w = -4w 3 + -4w = 7w + 8 Reorder the terms: 3 + -4w = 8 + 7w Solving 3 + -4w = 8 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 3 + -4w + -7w = 8 + 7w + -7w Combine like terms: -4w + -7w = -11w 3 + -11w = 8 + 7w + -7w Combine like terms: 7w + -7w = 0 3 + -11w = 8 + 0 3 + -11w = 8 Add '-3' to each side of the equation. 3 + -3 + -11w = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -11w = 8 + -3 -11w = 8 + -3 Combine like terms: 8 + -3 = 5 -11w = 5 Divide each side by '-11'. w = -0.4545454545 Simplifying w = -0.4545454545
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