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Simplifying 11w + 7 = 12w + -8 Reorder the terms: 7 + 11w = 12w + -8 Reorder the terms: 7 + 11w = -8 + 12w Solving 7 + 11w = -8 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 7 + 11w + -12w = -8 + 12w + -12w Combine like terms: 11w + -12w = -1w 7 + -1w = -8 + 12w + -12w Combine like terms: 12w + -12w = 0 7 + -1w = -8 + 0 7 + -1w = -8 Add '-7' to each side of the equation. 7 + -7 + -1w = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = -8 + -7 -1w = -8 + -7 Combine like terms: -8 + -7 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15
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