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Simplifying 100 = 6w + 12 Reorder the terms: 100 = 12 + 6w Solving 100 = 12 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 100 + -6w = 12 + 6w + -6w Combine like terms: 6w + -6w = 0 100 + -6w = 12 + 0 100 + -6w = 12 Add '-100' to each side of the equation. 100 + -100 + -6w = 12 + -100 Combine like terms: 100 + -100 = 0 0 + -6w = 12 + -100 -6w = 12 + -100 Combine like terms: 12 + -100 = -88 -6w = -88 Divide each side by '-6'. w = 14.66666667 Simplifying w = 14.66666667
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