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Simplifying 10 + 14w = 2(-3w + -13) Reorder the terms: 10 + 14w = 2(-13 + -3w) 10 + 14w = (-13 * 2 + -3w * 2) 10 + 14w = (-26 + -6w) Solving 10 + 14w = -26 + -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. 10 + 14w + 6w = -26 + -6w + 6w Combine like terms: 14w + 6w = 20w 10 + 20w = -26 + -6w + 6w Combine like terms: -6w + 6w = 0 10 + 20w = -26 + 0 10 + 20w = -26 Add '-10' to each side of the equation. 10 + -10 + 20w = -26 + -10 Combine like terms: 10 + -10 = 0 0 + 20w = -26 + -10 20w = -26 + -10 Combine like terms: -26 + -10 = -36 20w = -36 Divide each side by '20'. w = -1.8 Simplifying w = -1.8
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