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Simplifying 3w + -12 = 6w + 6 Reorder the terms: -12 + 3w = 6w + 6 Reorder the terms: -12 + 3w = 6 + 6w Solving -12 + 3w = 6 + 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. -12 + 3w + -6w = 6 + 6w + -6w Combine like terms: 3w + -6w = -3w -12 + -3w = 6 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + -3w = 6 + 0 -12 + -3w = 6 Add '12' to each side of the equation. -12 + 12 + -3w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = 6 + 12 -3w = 6 + 12 Combine like terms: 6 + 12 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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