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Simplifying 4(w + -6) = -2w + 30 Reorder the terms: 4(-6 + w) = -2w + 30 (-6 * 4 + w * 4) = -2w + 30 (-24 + 4w) = -2w + 30 Reorder the terms: -24 + 4w = 30 + -2w Solving -24 + 4w = 30 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -24 + 4w + 2w = 30 + -2w + 2w Combine like terms: 4w + 2w = 6w -24 + 6w = 30 + -2w + 2w Combine like terms: -2w + 2w = 0 -24 + 6w = 30 + 0 -24 + 6w = 30 Add '24' to each side of the equation. -24 + 24 + 6w = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 6w = 30 + 24 6w = 30 + 24 Combine like terms: 30 + 24 = 54 6w = 54 Divide each side by '6'. w = 9 Simplifying w = 9
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