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Simplifying 7(w + 10) + 6 = 12w + -12 Reorder the terms: 7(10 + w) + 6 = 12w + -12 (10 * 7 + w * 7) + 6 = 12w + -12 (70 + 7w) + 6 = 12w + -12 Reorder the terms: 70 + 6 + 7w = 12w + -12 Combine like terms: 70 + 6 = 76 76 + 7w = 12w + -12 Reorder the terms: 76 + 7w = -12 + 12w Solving 76 + 7w = -12 + 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. 76 + 7w + -12w = -12 + 12w + -12w Combine like terms: 7w + -12w = -5w 76 + -5w = -12 + 12w + -12w Combine like terms: 12w + -12w = 0 76 + -5w = -12 + 0 76 + -5w = -12 Add '-76' to each side of the equation. 76 + -76 + -5w = -12 + -76 Combine like terms: 76 + -76 = 0 0 + -5w = -12 + -76 -5w = -12 + -76 Combine like terms: -12 + -76 = -88 -5w = -88 Divide each side by '-5'. w = 17.6 Simplifying w = 17.6
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