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Simplifying -6(w + 2) = -2(9w + -1) + 4w Reorder the terms: -6(2 + w) = -2(9w + -1) + 4w (2 * -6 + w * -6) = -2(9w + -1) + 4w (-12 + -6w) = -2(9w + -1) + 4w Reorder the terms: -12 + -6w = -2(-1 + 9w) + 4w -12 + -6w = (-1 * -2 + 9w * -2) + 4w -12 + -6w = (2 + -18w) + 4w Combine like terms: -18w + 4w = -14w -12 + -6w = 2 + -14w Solving -12 + -6w = 2 + -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. -12 + -6w + 14w = 2 + -14w + 14w Combine like terms: -6w + 14w = 8w -12 + 8w = 2 + -14w + 14w Combine like terms: -14w + 14w = 0 -12 + 8w = 2 + 0 -12 + 8w = 2 Add '12' to each side of the equation. -12 + 12 + 8w = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = 2 + 12 8w = 2 + 12 Combine like terms: 2 + 12 = 14 8w = 14 Divide each side by '8'. w = 1.75 Simplifying w = 1.75
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