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Simplifying 3w + -7 = 2w + -1 Reorder the terms: -7 + 3w = 2w + -1 Reorder the terms: -7 + 3w = -1 + 2w Solving -7 + 3w = -1 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -7 + 3w + -2w = -1 + 2w + -2w Combine like terms: 3w + -2w = 1w -7 + 1w = -1 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 1w = -1 + 0 -7 + 1w = -1 Add '7' to each side of the equation. -7 + 7 + 1w = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1w = -1 + 7 1w = -1 + 7 Combine like terms: -1 + 7 = 6 1w = 6 Divide each side by '1'. w = 6 Simplifying w = 6
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