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Simplifying 7w + -6w + 1 = 10 + -4 Reorder the terms: 1 + 7w + -6w = 10 + -4 Combine like terms: 7w + -6w = 1w 1 + 1w = 10 + -4 Combine like terms: 10 + -4 = 6 1 + 1w = 6 Solving 1 + 1w = 6 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1w = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1w = 6 + -1 1w = 6 + -1 Combine like terms: 6 + -1 = 5 1w = 5 Divide each side by '1'. w = 5 Simplifying w = 5
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