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Simplifying 3(0.5w + -4) + 8 = 8 Reorder the terms: 3(-4 + 0.5w) + 8 = 8 (-4 * 3 + 0.5w * 3) + 8 = 8 (-12 + 1.5w) + 8 = 8 Reorder the terms: -12 + 8 + 1.5w = 8 Combine like terms: -12 + 8 = -4 -4 + 1.5w = 8 Solving -4 + 1.5w = 8 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1.5w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 1.5w = 8 + 4 1.5w = 8 + 4 Combine like terms: 8 + 4 = 12 1.5w = 12 Divide each side by '1.5'. w = 8 Simplifying w = 8
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