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Simplifying 4w + 2(5w + -6) = 10 + -1(3w + -2) Reorder the terms: 4w + 2(-6 + 5w) = 10 + -1(3w + -2) 4w + (-6 * 2 + 5w * 2) = 10 + -1(3w + -2) 4w + (-12 + 10w) = 10 + -1(3w + -2) Reorder the terms: -12 + 4w + 10w = 10 + -1(3w + -2) Combine like terms: 4w + 10w = 14w -12 + 14w = 10 + -1(3w + -2) Reorder the terms: -12 + 14w = 10 + -1(-2 + 3w) -12 + 14w = 10 + (-2 * -1 + 3w * -1) -12 + 14w = 10 + (2 + -3w) Combine like terms: 10 + 2 = 12 -12 + 14w = 12 + -3w Solving -12 + 14w = 12 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -12 + 14w + 3w = 12 + -3w + 3w Combine like terms: 14w + 3w = 17w -12 + 17w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 17w = 12 + 0 -12 + 17w = 12 Add '12' to each side of the equation. -12 + 12 + 17w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 17w = 12 + 12 17w = 12 + 12 Combine like terms: 12 + 12 = 24 17w = 24 Divide each side by '17'. w = 1.411764706 Simplifying w = 1.411764706
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