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Simplifying -12w + 12 + 3w = 6w + 3 Reorder the terms: 12 + -12w + 3w = 6w + 3 Combine like terms: -12w + 3w = -9w 12 + -9w = 6w + 3 Reorder the terms: 12 + -9w = 3 + 6w Solving 12 + -9w = 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. 12 + -9w + -6w = 3 + 6w + -6w Combine like terms: -9w + -6w = -15w 12 + -15w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -15w = 3 + 0 12 + -15w = 3 Add '-12' to each side of the equation. 12 + -12 + -15w = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -15w = 3 + -12 -15w = 3 + -12 Combine like terms: 3 + -12 = -9 -15w = -9 Divide each side by '-15'. w = 0.6 Simplifying w = 0.6
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