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Simplifying 4(w + -2) + -1w = 46 Reorder the terms: 4(-2 + w) + -1w = 46 (-2 * 4 + w * 4) + -1w = 46 (-8 + 4w) + -1w = 46 Combine like terms: 4w + -1w = 3w -8 + 3w = 46 Solving -8 + 3w = 46 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3w = 46 + 8 Combine like terms: -8 + 8 = 0 0 + 3w = 46 + 8 3w = 46 + 8 Combine like terms: 46 + 8 = 54 3w = 54 Divide each side by '3'. w = 18 Simplifying w = 18
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