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Simplifying 10 + -3(4w + 1) + -2w = 5 Reorder the terms: 10 + -3(1 + 4w) + -2w = 5 10 + (1 * -3 + 4w * -3) + -2w = 5 10 + (-3 + -12w) + -2w = 5 Combine like terms: 10 + -3 = 7 7 + -12w + -2w = 5 Combine like terms: -12w + -2w = -14w 7 + -14w = 5 Solving 7 + -14w = 5 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -14w = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -14w = 5 + -7 -14w = 5 + -7 Combine like terms: 5 + -7 = -2 -14w = -2 Divide each side by '-14'. w = 0.1428571429 Simplifying w = 0.1428571429
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