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Simplifying 9w + 3(w + -4) = 5(w + -2) + -1 Reorder the terms: 9w + 3(-4 + w) = 5(w + -2) + -1 9w + (-4 * 3 + w * 3) = 5(w + -2) + -1 9w + (-12 + 3w) = 5(w + -2) + -1 Reorder the terms: -12 + 9w + 3w = 5(w + -2) + -1 Combine like terms: 9w + 3w = 12w -12 + 12w = 5(w + -2) + -1 Reorder the terms: -12 + 12w = 5(-2 + w) + -1 -12 + 12w = (-2 * 5 + w * 5) + -1 -12 + 12w = (-10 + 5w) + -1 Reorder the terms: -12 + 12w = -10 + -1 + 5w Combine like terms: -10 + -1 = -11 -12 + 12w = -11 + 5w Solving -12 + 12w = -11 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -12 + 12w + -5w = -11 + 5w + -5w Combine like terms: 12w + -5w = 7w -12 + 7w = -11 + 5w + -5w Combine like terms: 5w + -5w = 0 -12 + 7w = -11 + 0 -12 + 7w = -11 Add '12' to each side of the equation. -12 + 12 + 7w = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 7w = -11 + 12 7w = -11 + 12 Combine like terms: -11 + 12 = 1 7w = 1 Divide each side by '7'. w = 0.1428571429 Simplifying w = 0.1428571429
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