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Simplifying 0.5w + -12 = 1.5w + -4 Reorder the terms: -12 + 0.5w = 1.5w + -4 Reorder the terms: -12 + 0.5w = -4 + 1.5w Solving -12 + 0.5w = -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. -12 + 0.5w + -1.5w = -4 + 1.5w + -1.5w Combine like terms: 0.5w + -1.5w = -1w -12 + -1w = -4 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 -12 + -1w = -4 + 0.0 -12 + -1w = -4 Add '12' to each side of the equation. -12 + 12 + -1w = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -1w = -4 + 12 -1w = -4 + 12 Combine like terms: -4 + 12 = 8 -1w = 8 Divide each side by '-1'. w = -8 Simplifying w = -8
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