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Simplifying 3w + 4.5 = 6w Reorder the terms: 4.5 + 3w = 6w Solving 4.5 + 3w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 4.5 + 3w + -6w = 6w + -6w Combine like terms: 3w + -6w = -3w 4.5 + -3w = 6w + -6w Combine like terms: 6w + -6w = 0 4.5 + -3w = 0 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -3w = 0 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -3w = 0 + -4.5 -3w = 0 + -4.5 Combine like terms: 0 + -4.5 = -4.5 -3w = -4.5 Divide each side by '-3'. w = 1.5 Simplifying w = 1.5
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