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Simplifying 4(w + 1) + w = 5(w + -1) * 9 Reorder the terms: 4(1 + w) + w = 5(w + -1) * 9 (1 * 4 + w * 4) + w = 5(w + -1) * 9 (4 + 4w) + w = 5(w + -1) * 9 Combine like terms: 4w + w = 5w 4 + 5w = 5(w + -1) * 9 Reorder the terms: 4 + 5w = 5(-1 + w) * 9 Reorder the terms for easier multiplication: 4 + 5w = 5 * 9(-1 + w) Multiply 5 * 9 4 + 5w = 45(-1 + w) 4 + 5w = (-1 * 45 + w * 45) 4 + 5w = (-45 + 45w) Solving 4 + 5w = -45 + 45w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-45w' to each side of the equation. 4 + 5w + -45w = -45 + 45w + -45w Combine like terms: 5w + -45w = -40w 4 + -40w = -45 + 45w + -45w Combine like terms: 45w + -45w = 0 4 + -40w = -45 + 0 4 + -40w = -45 Add '-4' to each side of the equation. 4 + -4 + -40w = -45 + -4 Combine like terms: 4 + -4 = 0 0 + -40w = -45 + -4 -40w = -45 + -4 Combine like terms: -45 + -4 = -49 -40w = -49 Divide each side by '-40'. w = 1.225 Simplifying w = 1.225
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