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Simplifying 7w + -3(4w + 8) = 12 Reorder the terms: 7w + -3(8 + 4w) = 12 7w + (8 * -3 + 4w * -3) = 12 7w + (-24 + -12w) = 12 Reorder the terms: -24 + 7w + -12w = 12 Combine like terms: 7w + -12w = -5w -24 + -5w = 12 Solving -24 + -5w = 12 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -5w = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -5w = 12 + 24 -5w = 12 + 24 Combine like terms: 12 + 24 = 36 -5w = 36 Divide each side by '-5'. w = -7.2 Simplifying w = -7.2
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