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Simplifying -4w + 44 = 7(w + 5) Reorder the terms: 44 + -4w = 7(w + 5) Reorder the terms: 44 + -4w = 7(5 + w) 44 + -4w = (5 * 7 + w * 7) 44 + -4w = (35 + 7w) Solving 44 + -4w = 35 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 44 + -4w + -7w = 35 + 7w + -7w Combine like terms: -4w + -7w = -11w 44 + -11w = 35 + 7w + -7w Combine like terms: 7w + -7w = 0 44 + -11w = 35 + 0 44 + -11w = 35 Add '-44' to each side of the equation. 44 + -44 + -11w = 35 + -44 Combine like terms: 44 + -44 = 0 0 + -11w = 35 + -44 -11w = 35 + -44 Combine like terms: 35 + -44 = -9 -11w = -9 Divide each side by '-11'. w = 0.8181818182 Simplifying w = 0.8181818182
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