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Simplifying -9(4w + 3) = 14(w + -2) + 1 Reorder the terms: -9(3 + 4w) = 14(w + -2) + 1 (3 * -9 + 4w * -9) = 14(w + -2) + 1 (-27 + -36w) = 14(w + -2) + 1 Reorder the terms: -27 + -36w = 14(-2 + w) + 1 -27 + -36w = (-2 * 14 + w * 14) + 1 -27 + -36w = (-28 + 14w) + 1 Reorder the terms: -27 + -36w = -28 + 1 + 14w Combine like terms: -28 + 1 = -27 -27 + -36w = -27 + 14w Add '27' to each side of the equation. -27 + 27 + -36w = -27 + 27 + 14w Combine like terms: -27 + 27 = 0 0 + -36w = -27 + 27 + 14w -36w = -27 + 27 + 14w Combine like terms: -27 + 27 = 0 -36w = 0 + 14w -36w = 14w Solving -36w = 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -36w + -14w = 14w + -14w Combine like terms: -36w + -14w = -50w -50w = 14w + -14w Combine like terms: 14w + -14w = 0 -50w = 0 Divide each side by '-50'. w = 0.0 Simplifying w = 0.0
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