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Simplifying 12 + 1.5w = 6 + 2w Solving 12 + 1.5w = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 12 + 1.5w + -2w = 6 + 2w + -2w Combine like terms: 1.5w + -2w = -0.5w 12 + -0.5w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 12 + -0.5w = 6 + 0 12 + -0.5w = 6 Add '-12' to each side of the equation. 12 + -12 + -0.5w = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.5w = 6 + -12 -0.5w = 6 + -12 Combine like terms: 6 + -12 = -6 -0.5w = -6 Divide each side by '-0.5'. w = 12 Simplifying w = 12
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