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Simplifying 7(w + -1) = -3w + 23 Reorder the terms: 7(-1 + w) = -3w + 23 (-1 * 7 + w * 7) = -3w + 23 (-7 + 7w) = -3w + 23 Reorder the terms: -7 + 7w = 23 + -3w Solving -7 + 7w = 23 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -7 + 7w + 3w = 23 + -3w + 3w Combine like terms: 7w + 3w = 10w -7 + 10w = 23 + -3w + 3w Combine like terms: -3w + 3w = 0 -7 + 10w = 23 + 0 -7 + 10w = 23 Add '7' to each side of the equation. -7 + 7 + 10w = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 10w = 23 + 7 10w = 23 + 7 Combine like terms: 23 + 7 = 30 10w = 30 Divide each side by '10'. w = 3 Simplifying w = 3
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