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Simplifying 7 + -4w = 2w + 5 + -8 Reorder the terms: 7 + -4w = 5 + -8 + 2w Combine like terms: 5 + -8 = -3 7 + -4w = -3 + 2w Solving 7 + -4w = -3 + 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. 7 + -4w + -2w = -3 + 2w + -2w Combine like terms: -4w + -2w = -6w 7 + -6w = -3 + 2w + -2w Combine like terms: 2w + -2w = 0 7 + -6w = -3 + 0 7 + -6w = -3 Add '-7' to each side of the equation. 7 + -7 + -6w = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -6w = -3 + -7 -6w = -3 + -7 Combine like terms: -3 + -7 = -10 -6w = -10 Divide each side by '-6'. w = 1.666666667 Simplifying w = 1.666666667
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