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Simplifying -7w + 23 = -4(w + -2) Reorder the terms: 23 + -7w = -4(w + -2) Reorder the terms: 23 + -7w = -4(-2 + w) 23 + -7w = (-2 * -4 + w * -4) 23 + -7w = (8 + -4w) Solving 23 + -7w = 8 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 23 + -7w + 4w = 8 + -4w + 4w Combine like terms: -7w + 4w = -3w 23 + -3w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 23 + -3w = 8 + 0 23 + -3w = 8 Add '-23' to each side of the equation. 23 + -23 + -3w = 8 + -23 Combine like terms: 23 + -23 = 0 0 + -3w = 8 + -23 -3w = 8 + -23 Combine like terms: 8 + -23 = -15 -3w = -15 Divide each side by '-3'. w = 5 Simplifying w = 5
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