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Simplifying 4(w + -6) = 3(w + 10) Reorder the terms: 4(-6 + w) = 3(w + 10) (-6 * 4 + w * 4) = 3(w + 10) (-24 + 4w) = 3(w + 10) Reorder the terms: -24 + 4w = 3(10 + w) -24 + 4w = (10 * 3 + w * 3) -24 + 4w = (30 + 3w) Solving -24 + 4w = 30 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -24 + 4w + -3w = 30 + 3w + -3w Combine like terms: 4w + -3w = 1w -24 + 1w = 30 + 3w + -3w Combine like terms: 3w + -3w = 0 -24 + 1w = 30 + 0 -24 + 1w = 30 Add '24' to each side of the equation. -24 + 24 + 1w = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 1w = 30 + 24 1w = 30 + 24 Combine like terms: 30 + 24 = 54 1w = 54 Divide each side by '1'. w = 54 Simplifying w = 54
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