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Simplifying 12w + 18 = 2(-6w + 9) Reorder the terms: 18 + 12w = 2(-6w + 9) Reorder the terms: 18 + 12w = 2(9 + -6w) 18 + 12w = (9 * 2 + -6w * 2) 18 + 12w = (18 + -12w) Add '-18' to each side of the equation. 18 + -18 + 12w = 18 + -18 + -12w Combine like terms: 18 + -18 = 0 0 + 12w = 18 + -18 + -12w 12w = 18 + -18 + -12w Combine like terms: 18 + -18 = 0 12w = 0 + -12w 12w = -12w Solving 12w = -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. 12w + 12w = -12w + 12w Combine like terms: 12w + 12w = 24w 24w = -12w + 12w Combine like terms: -12w + 12w = 0 24w = 0 Divide each side by '24'. w = 0 Simplifying w = 0
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