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Simplifying 4(w + -6) = -6w + 46 Reorder the terms: 4(-6 + w) = -6w + 46 (-6 * 4 + w * 4) = -6w + 46 (-24 + 4w) = -6w + 46 Reorder the terms: -24 + 4w = 46 + -6w Solving -24 + 4w = 46 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -24 + 4w + 6w = 46 + -6w + 6w Combine like terms: 4w + 6w = 10w -24 + 10w = 46 + -6w + 6w Combine like terms: -6w + 6w = 0 -24 + 10w = 46 + 0 -24 + 10w = 46 Add '24' to each side of the equation. -24 + 24 + 10w = 46 + 24 Combine like terms: -24 + 24 = 0 0 + 10w = 46 + 24 10w = 46 + 24 Combine like terms: 46 + 24 = 70 10w = 70 Divide each side by '10'. w = 7 Simplifying w = 7
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