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Simplifying 3w + 26 = -4(w + 4) Reorder the terms: 26 + 3w = -4(w + 4) Reorder the terms: 26 + 3w = -4(4 + w) 26 + 3w = (4 * -4 + w * -4) 26 + 3w = (-16 + -4w) Solving 26 + 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. 26 + 3w + 4w = -16 + -4w + 4w Combine like terms: 3w + 4w = 7w 26 + 7w = -16 + -4w + 4w Combine like terms: -4w + 4w = 0 26 + 7w = -16 + 0 26 + 7w = -16 Add '-26' to each side of the equation. 26 + -26 + 7w = -16 + -26 Combine like terms: 26 + -26 = 0 0 + 7w = -16 + -26 7w = -16 + -26 Combine like terms: -16 + -26 = -42 7w = -42 Divide each side by '7'. w = -6 Simplifying w = -6
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