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Simplifying 40 + -4(2w + 1) = 6w + -4(6 + 4) Reorder the terms: 40 + -4(1 + 2w) = 6w + -4(6 + 4) 40 + (1 * -4 + 2w * -4) = 6w + -4(6 + 4) 40 + (-4 + -8w) = 6w + -4(6 + 4) Combine like terms: 40 + -4 = 36 36 + -8w = 6w + -4(6 + 4) Combine like terms: 6 + 4 = 10 36 + -8w = 6w + -4(10) Multiply -4 * 10 36 + -8w = 6w + -40 Reorder the terms: 36 + -8w = -40 + 6w Solving 36 + -8w = -40 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 36 + -8w + -6w = -40 + 6w + -6w Combine like terms: -8w + -6w = -14w 36 + -14w = -40 + 6w + -6w Combine like terms: 6w + -6w = 0 36 + -14w = -40 + 0 36 + -14w = -40 Add '-36' to each side of the equation. 36 + -36 + -14w = -40 + -36 Combine like terms: 36 + -36 = 0 0 + -14w = -40 + -36 -14w = -40 + -36 Combine like terms: -40 + -36 = -76 -14w = -76 Divide each side by '-14'. w = 5.428571429 Simplifying w = 5.428571429
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