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Simplifying 12(1w + -3) = 6w Reorder the terms: 12(-3 + 1w) = 6w (-3 * 12 + 1w * 12) = 6w (-36 + 12w) = 6w Solving -36 + 12w = 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. -36 + 12w + -6w = 6w + -6w Combine like terms: 12w + -6w = 6w -36 + 6w = 6w + -6w Combine like terms: 6w + -6w = 0 -36 + 6w = 0 Add '36' to each side of the equation. -36 + 36 + 6w = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6w = 0 + 36 6w = 0 + 36 Combine like terms: 0 + 36 = 36 6w = 36 Divide each side by '6'. w = 6 Simplifying w = 6
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