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Simplifying 3w + 23 = -4(w + -4) Reorder the terms: 23 + 3w = -4(w + -4) Reorder the terms: 23 + 3w = -4(-4 + w) 23 + 3w = (-4 * -4 + w * -4) 23 + 3w = (16 + -4w) Solving 23 + 3w = 16 + -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 + 3w + 4w = 16 + -4w + 4w Combine like terms: 3w + 4w = 7w 23 + 7w = 16 + -4w + 4w Combine like terms: -4w + 4w = 0 23 + 7w = 16 + 0 23 + 7w = 16 Add '-23' to each side of the equation. 23 + -23 + 7w = 16 + -23 Combine like terms: 23 + -23 = 0 0 + 7w = 16 + -23 7w = 16 + -23 Combine like terms: 16 + -23 = -7 7w = -7 Divide each side by '7'. w = -1 Simplifying w = -1
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