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Simplifying -6w + -5 = 12w + 2 Reorder the terms: -5 + -6w = 12w + 2 Reorder the terms: -5 + -6w = 2 + 12w Solving -5 + -6w = 2 + 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. -5 + -6w + -12w = 2 + 12w + -12w Combine like terms: -6w + -12w = -18w -5 + -18w = 2 + 12w + -12w Combine like terms: 12w + -12w = 0 -5 + -18w = 2 + 0 -5 + -18w = 2 Add '5' to each side of the equation. -5 + 5 + -18w = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -18w = 2 + 5 -18w = 2 + 5 Combine like terms: 2 + 5 = 7 -18w = 7 Divide each side by '-18'. w = -0.3888888889 Simplifying w = -0.3888888889
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