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Simplifying 8w + -12 = 10w + -6 Reorder the terms: -12 + 8w = 10w + -6 Reorder the terms: -12 + 8w = -6 + 10w Solving -12 + 8w = -6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -12 + 8w + -10w = -6 + 10w + -10w Combine like terms: 8w + -10w = -2w -12 + -2w = -6 + 10w + -10w Combine like terms: 10w + -10w = 0 -12 + -2w = -6 + 0 -12 + -2w = -6 Add '12' to each side of the equation. -12 + 12 + -2w = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -2w = -6 + 12 -2w = -6 + 12 Combine like terms: -6 + 12 = 6 -2w = 6 Divide each side by '-2'. w = -3 Simplifying w = -3
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