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Simplifying 5w + 126 = 4w + -18 Reorder the terms: 126 + 5w = 4w + -18 Reorder the terms: 126 + 5w = -18 + 4w Solving 126 + 5w = -18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 126 + 5w + -4w = -18 + 4w + -4w Combine like terms: 5w + -4w = 1w 126 + 1w = -18 + 4w + -4w Combine like terms: 4w + -4w = 0 126 + 1w = -18 + 0 126 + 1w = -18 Add '-126' to each side of the equation. 126 + -126 + 1w = -18 + -126 Combine like terms: 126 + -126 = 0 0 + 1w = -18 + -126 1w = -18 + -126 Combine like terms: -18 + -126 = -144 1w = -144 Divide each side by '1'. w = -144 Simplifying w = -144
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