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Simplifying 2w + 3(w + -4) = 78 Reorder the terms: 2w + 3(-4 + w) = 78 2w + (-4 * 3 + w * 3) = 78 2w + (-12 + 3w) = 78 Reorder the terms: -12 + 2w + 3w = 78 Combine like terms: 2w + 3w = 5w -12 + 5w = 78 Solving -12 + 5w = 78 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5w = 78 + 12 Combine like terms: -12 + 12 = 0 0 + 5w = 78 + 12 5w = 78 + 12 Combine like terms: 78 + 12 = 90 5w = 90 Divide each side by '5'. w = 18 Simplifying w = 18
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