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Simplifying 4(3w + -6) = 3 + -6w Reorder the terms: 4(-6 + 3w) = 3 + -6w (-6 * 4 + 3w * 4) = 3 + -6w (-24 + 12w) = 3 + -6w Solving -24 + 12w = 3 + -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 + 12w + 6w = 3 + -6w + 6w Combine like terms: 12w + 6w = 18w -24 + 18w = 3 + -6w + 6w Combine like terms: -6w + 6w = 0 -24 + 18w = 3 + 0 -24 + 18w = 3 Add '24' to each side of the equation. -24 + 24 + 18w = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 18w = 3 + 24 18w = 3 + 24 Combine like terms: 3 + 24 = 27 18w = 27 Divide each side by '18'. w = 1.5 Simplifying w = 1.5
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