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Simplifying 6w + -12 + -1w = 9w + 53 + w Reorder the terms: -12 + 6w + -1w = 9w + 53 + w Combine like terms: 6w + -1w = 5w -12 + 5w = 9w + 53 + w Reorder the terms: -12 + 5w = 53 + 9w + w Combine like terms: 9w + w = 10w -12 + 5w = 53 + 10w Solving -12 + 5w = 53 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -12 + 5w + -10w = 53 + 10w + -10w Combine like terms: 5w + -10w = -5w -12 + -5w = 53 + 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -5w = 53 + 0 -12 + -5w = 53 Add '12' to each side of the equation. -12 + 12 + -5w = 53 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = 53 + 12 -5w = 53 + 12 Combine like terms: 53 + 12 = 65 -5w = 65 Divide each side by '-5'. w = -13 Simplifying w = -13
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