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Simplifying 10(2w + -3) = 6w Reorder the terms: 10(-3 + 2w) = 6w (-3 * 10 + 2w * 10) = 6w (-30 + 20w) = 6w Solving -30 + 20w = 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -30 + 20w + -6w = 6w + -6w Combine like terms: 20w + -6w = 14w -30 + 14w = 6w + -6w Combine like terms: 6w + -6w = 0 -30 + 14w = 0 Add '30' to each side of the equation. -30 + 30 + 14w = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 14w = 0 + 30 14w = 0 + 30 Combine like terms: 0 + 30 = 30 14w = 30 Divide each side by '14'. w = 2.142857143 Simplifying w = 2.142857143
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