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Simplifying 6 + 3 = 6(w + 0.5) Combine like terms: 6 + 3 = 9 9 = 6(w + 0.5) Reorder the terms: 9 = 6(0.5 + w) 9 = (0.5 * 6 + w * 6) 9 = (3 + 6w) Solving 9 = 3 + 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. 9 + -6w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + -6w = 3 + 0 9 + -6w = 3 Add '-9' to each side of the equation. 9 + -9 + -6w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -6w = 3 + -9 -6w = 3 + -9 Combine like terms: 3 + -9 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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