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Simplifying -12w + 12 = 3w + 5 Reorder the terms: 12 + -12w = 3w + 5 Reorder the terms: 12 + -12w = 5 + 3w Solving 12 + -12w = 5 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + -12w + -3w = 5 + 3w + -3w Combine like terms: -12w + -3w = -15w 12 + -15w = 5 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + -15w = 5 + 0 12 + -15w = 5 Add '-12' to each side of the equation. 12 + -12 + -15w = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -15w = 5 + -12 -15w = 5 + -12 Combine like terms: 5 + -12 = -7 -15w = -7 Divide each side by '-15'. w = 0.4666666667 Simplifying w = 0.4666666667
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