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Simplifying 8w + 12 = 4w + -18 Reorder the terms: 12 + 8w = 4w + -18 Reorder the terms: 12 + 8w = -18 + 4w Solving 12 + 8w = -18 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 12 + 8w + -4w = -18 + 4w + -4w Combine like terms: 8w + -4w = 4w 12 + 4w = -18 + 4w + -4w Combine like terms: 4w + -4w = 0 12 + 4w = -18 + 0 12 + 4w = -18 Add '-12' to each side of the equation. 12 + -12 + 4w = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 4w = -18 + -12 4w = -18 + -12 Combine like terms: -18 + -12 = -30 4w = -30 Divide each side by '4'. w = -7.5 Simplifying w = -7.5
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