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Simplifying 6(2 + -4w) + 18 = -114 (2 * 6 + -4w * 6) + 18 = -114 (12 + -24w) + 18 = -114 Reorder the terms: 12 + 18 + -24w = -114 Combine like terms: 12 + 18 = 30 30 + -24w = -114 Solving 30 + -24w = -114 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -24w = -114 + -30 Combine like terms: 30 + -30 = 0 0 + -24w = -114 + -30 -24w = -114 + -30 Combine like terms: -114 + -30 = -144 -24w = -144 Divide each side by '-24'. w = 6 Simplifying w = 6
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