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Simplifying 5w + -4w + 7 = 5w + -11 Reorder the terms: 7 + 5w + -4w = 5w + -11 Combine like terms: 5w + -4w = 1w 7 + 1w = 5w + -11 Reorder the terms: 7 + 1w = -11 + 5w Solving 7 + 1w = -11 + 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 + 1w + -5w = -11 + 5w + -5w Combine like terms: 1w + -5w = -4w 7 + -4w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 7 + -4w = -11 + 0 7 + -4w = -11 Add '-7' to each side of the equation. 7 + -7 + -4w = -11 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = -11 + -7 -4w = -11 + -7 Combine like terms: -11 + -7 = -18 -4w = -18 Divide each side by '-4'. w = 4.5 Simplifying w = 4.5
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