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Simplifying 8w + -18 = 12w + 14 Reorder the terms: -18 + 8w = 12w + 14 Reorder the terms: -18 + 8w = 14 + 12w Solving -18 + 8w = 14 + 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. -18 + 8w + -12w = 14 + 12w + -12w Combine like terms: 8w + -12w = -4w -18 + -4w = 14 + 12w + -12w Combine like terms: 12w + -12w = 0 -18 + -4w = 14 + 0 -18 + -4w = 14 Add '18' to each side of the equation. -18 + 18 + -4w = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -4w = 14 + 18 -4w = 14 + 18 Combine like terms: 14 + 18 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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