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Simplifying 12w + -7 = 10w + -1 Reorder the terms: -7 + 12w = 10w + -1 Reorder the terms: -7 + 12w = -1 + 10w Solving -7 + 12w = -1 + 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. -7 + 12w + -10w = -1 + 10w + -10w Combine like terms: 12w + -10w = 2w -7 + 2w = -1 + 10w + -10w Combine like terms: 10w + -10w = 0 -7 + 2w = -1 + 0 -7 + 2w = -1 Add '7' to each side of the equation. -7 + 7 + 2w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2w = -1 + 7 2w = -1 + 7 Combine like terms: -1 + 7 = 6 2w = 6 Divide each side by '2'. w = 3 Simplifying w = 3
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