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Simplifying 4w + 12 = -1w + -18 Reorder the terms: 12 + 4w = -1w + -18 Reorder the terms: 12 + 4w = -18 + -1w Solving 12 + 4w = -18 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 12 + 4w + w = -18 + -1w + w Combine like terms: 4w + w = 5w 12 + 5w = -18 + -1w + w Combine like terms: -1w + w = 0 12 + 5w = -18 + 0 12 + 5w = -18 Add '-12' to each side of the equation. 12 + -12 + 5w = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 5w = -18 + -12 5w = -18 + -12 Combine like terms: -18 + -12 = -30 5w = -30 Divide each side by '5'. w = -6 Simplifying w = -6
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