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Simplifying 2(w + -3) = 4w + 6 + -2(-5w + -1) Reorder the terms: 2(-3 + w) = 4w + 6 + -2(-5w + -1) (-3 * 2 + w * 2) = 4w + 6 + -2(-5w + -1) (-6 + 2w) = 4w + 6 + -2(-5w + -1) Reorder the terms: -6 + 2w = 4w + 6 + -2(-1 + -5w) -6 + 2w = 4w + 6 + (-1 * -2 + -5w * -2) -6 + 2w = 4w + 6 + (2 + 10w) Reorder the terms: -6 + 2w = 6 + 2 + 4w + 10w Combine like terms: 6 + 2 = 8 -6 + 2w = 8 + 4w + 10w Combine like terms: 4w + 10w = 14w -6 + 2w = 8 + 14w Solving -6 + 2w = 8 + 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. -6 + 2w + -14w = 8 + 14w + -14w Combine like terms: 2w + -14w = -12w -6 + -12w = 8 + 14w + -14w Combine like terms: 14w + -14w = 0 -6 + -12w = 8 + 0 -6 + -12w = 8 Add '6' to each side of the equation. -6 + 6 + -12w = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -12w = 8 + 6 -12w = 8 + 6 Combine like terms: 8 + 6 = 14 -12w = 14 Divide each side by '-12'. w = -1.166666667 Simplifying w = -1.166666667
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