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Simplifying 12 + 14w = -6(-4w + 18) Reorder the terms: 12 + 14w = -6(18 + -4w) 12 + 14w = (18 * -6 + -4w * -6) 12 + 14w = (-108 + 24w) Solving 12 + 14w = -108 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 12 + 14w + -24w = -108 + 24w + -24w Combine like terms: 14w + -24w = -10w 12 + -10w = -108 + 24w + -24w Combine like terms: 24w + -24w = 0 12 + -10w = -108 + 0 12 + -10w = -108 Add '-12' to each side of the equation. 12 + -12 + -10w = -108 + -12 Combine like terms: 12 + -12 = 0 0 + -10w = -108 + -12 -10w = -108 + -12 Combine like terms: -108 + -12 = -120 -10w = -120 Divide each side by '-10'. w = 12 Simplifying w = 12
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