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Simplifying 7(w + -1) = 2w + 3 Reorder the terms: 7(-1 + w) = 2w + 3 (-1 * 7 + w * 7) = 2w + 3 (-7 + 7w) = 2w + 3 Reorder the terms: -7 + 7w = 3 + 2w Solving -7 + 7w = 3 + 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 + 7w + -2w = 3 + 2w + -2w Combine like terms: 7w + -2w = 5w -7 + 5w = 3 + 2w + -2w Combine like terms: 2w + -2w = 0 -7 + 5w = 3 + 0 -7 + 5w = 3 Add '7' to each side of the equation. -7 + 7 + 5w = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5w = 3 + 7 5w = 3 + 7 Combine like terms: 3 + 7 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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