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