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Simplifying 5 + -3w + 12w = w + -7 Combine like terms: -3w + 12w = 9w 5 + 9w = w + -7 Reorder the terms: 5 + 9w = -7 + w Solving 5 + 9w = -7 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 5 + 9w + -1w = -7 + w + -1w Combine like terms: 9w + -1w = 8w 5 + 8w = -7 + w + -1w Combine like terms: w + -1w = 0 5 + 8w = -7 + 0 5 + 8w = -7 Add '-5' to each side of the equation. 5 + -5 + 8w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = -7 + -5 8w = -7 + -5 Combine like terms: -7 + -5 = -12 8w = -12 Divide each side by '8'. w = -1.5 Simplifying w = -1.5
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