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Simplifying 7(w + -1) + 2(w + -3) = 23 Reorder the terms: 7(-1 + w) + 2(w + -3) = 23 (-1 * 7 + w * 7) + 2(w + -3) = 23 (-7 + 7w) + 2(w + -3) = 23 Reorder the terms: -7 + 7w + 2(-3 + w) = 23 -7 + 7w + (-3 * 2 + w * 2) = 23 -7 + 7w + (-6 + 2w) = 23 Reorder the terms: -7 + -6 + 7w + 2w = 23 Combine like terms: -7 + -6 = -13 -13 + 7w + 2w = 23 Combine like terms: 7w + 2w = 9w -13 + 9w = 23 Solving -13 + 9w = 23 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 9w = 23 + 13 Combine like terms: -13 + 13 = 0 0 + 9w = 23 + 13 9w = 23 + 13 Combine like terms: 23 + 13 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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