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Simplifying -1w + 4w + 7 = 12 Reorder the terms: 7 + -1w + 4w = 12 Combine like terms: -1w + 4w = 3w 7 + 3w = 12 Solving 7 + 3w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3w = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 3w = 12 + -7 3w = 12 + -7 Combine like terms: 12 + -7 = 5 3w = 5 Divide each side by '3'. w = 1.666666667 Simplifying w = 1.666666667
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