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