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Simplifying 6w + 1 + -2(-4w + -1) = 4(w + -3) Reorder the terms: 6w + 1 + -2(-1 + -4w) = 4(w + -3) 6w + 1 + (-1 * -2 + -4w * -2) = 4(w + -3) 6w + 1 + (2 + 8w) = 4(w + -3) Reorder the terms: 1 + 2 + 6w + 8w = 4(w + -3) Combine like terms: 1 + 2 = 3 3 + 6w + 8w = 4(w + -3) Combine like terms: 6w + 8w = 14w 3 + 14w = 4(w + -3) Reorder the terms: 3 + 14w = 4(-3 + w) 3 + 14w = (-3 * 4 + w * 4) 3 + 14w = (-12 + 4w) Solving 3 + 14w = -12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 3 + 14w + -4w = -12 + 4w + -4w Combine like terms: 14w + -4w = 10w 3 + 10w = -12 + 4w + -4w Combine like terms: 4w + -4w = 0 3 + 10w = -12 + 0 3 + 10w = -12 Add '-3' to each side of the equation. 3 + -3 + 10w = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 10w = -12 + -3 10w = -12 + -3 Combine like terms: -12 + -3 = -15 10w = -15 Divide each side by '10'. w = -1.5 Simplifying w = -1.5
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