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Simplifying 8 = 3(0.5w + -4) + 8 Reorder the terms: 8 = 3(-4 + 0.5w) + 8 8 = (-4 * 3 + 0.5w * 3) + 8 8 = (-12 + 1.5w) + 8 Reorder the terms: 8 = -12 + 8 + 1.5w Combine like terms: -12 + 8 = -4 8 = -4 + 1.5w Solving 8 = -4 + 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 8 + -1.5w = -4 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 8 + -1.5w = -4 + 0.0 8 + -1.5w = -4 Add '-8' to each side of the equation. 8 + -8 + -1.5w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -1.5w = -4 + -8 -1.5w = -4 + -8 Combine like terms: -4 + -8 = -12 -1.5w = -12 Divide each side by '-1.5'. w = 8 Simplifying w = 8
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