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Simplifying 8 + -4w = 1 + -3(6w + -12) Reorder the terms: 8 + -4w = 1 + -3(-12 + 6w) 8 + -4w = 1 + (-12 * -3 + 6w * -3) 8 + -4w = 1 + (36 + -18w) Combine like terms: 1 + 36 = 37 8 + -4w = 37 + -18w Solving 8 + -4w = 37 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. 8 + -4w + 18w = 37 + -18w + 18w Combine like terms: -4w + 18w = 14w 8 + 14w = 37 + -18w + 18w Combine like terms: -18w + 18w = 0 8 + 14w = 37 + 0 8 + 14w = 37 Add '-8' to each side of the equation. 8 + -8 + 14w = 37 + -8 Combine like terms: 8 + -8 = 0 0 + 14w = 37 + -8 14w = 37 + -8 Combine like terms: 37 + -8 = 29 14w = 29 Divide each side by '14'. w = 2.071428571 Simplifying w = 2.071428571
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