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Simplifying 10 + 5w = 5(-1w + -8) + 6(4w + 2) Reorder the terms: 10 + 5w = 5(-8 + -1w) + 6(4w + 2) 10 + 5w = (-8 * 5 + -1w * 5) + 6(4w + 2) 10 + 5w = (-40 + -5w) + 6(4w + 2) Reorder the terms: 10 + 5w = -40 + -5w + 6(2 + 4w) 10 + 5w = -40 + -5w + (2 * 6 + 4w * 6) 10 + 5w = -40 + -5w + (12 + 24w) Reorder the terms: 10 + 5w = -40 + 12 + -5w + 24w Combine like terms: -40 + 12 = -28 10 + 5w = -28 + -5w + 24w Combine like terms: -5w + 24w = 19w 10 + 5w = -28 + 19w Solving 10 + 5w = -28 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 10 + 5w + -19w = -28 + 19w + -19w Combine like terms: 5w + -19w = -14w 10 + -14w = -28 + 19w + -19w Combine like terms: 19w + -19w = 0 10 + -14w = -28 + 0 10 + -14w = -28 Add '-10' to each side of the equation. 10 + -10 + -14w = -28 + -10 Combine like terms: 10 + -10 = 0 0 + -14w = -28 + -10 -14w = -28 + -10 Combine like terms: -28 + -10 = -38 -14w = -38 Divide each side by '-14'. w = 2.714285714 Simplifying w = 2.714285714
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