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Simplifying 7 + 10w = 9w + -9 + 3w Reorder the terms: 7 + 10w = -9 + 9w + 3w Combine like terms: 9w + 3w = 12w 7 + 10w = -9 + 12w Solving 7 + 10w = -9 + 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 + 10w + -12w = -9 + 12w + -12w Combine like terms: 10w + -12w = -2w 7 + -2w = -9 + 12w + -12w Combine like terms: 12w + -12w = 0 7 + -2w = -9 + 0 7 + -2w = -9 Add '-7' to each side of the equation. 7 + -7 + -2w = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -2w = -9 + -7 -2w = -9 + -7 Combine like terms: -9 + -7 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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