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Simplifying -5(10w + 12) + -5w = -5(14w + -8) Reorder the terms: -5(12 + 10w) + -5w = -5(14w + -8) (12 * -5 + 10w * -5) + -5w = -5(14w + -8) (-60 + -50w) + -5w = -5(14w + -8) Combine like terms: -50w + -5w = -55w -60 + -55w = -5(14w + -8) Reorder the terms: -60 + -55w = -5(-8 + 14w) -60 + -55w = (-8 * -5 + 14w * -5) -60 + -55w = (40 + -70w) Solving -60 + -55w = 40 + -70w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '70w' to each side of the equation. -60 + -55w + 70w = 40 + -70w + 70w Combine like terms: -55w + 70w = 15w -60 + 15w = 40 + -70w + 70w Combine like terms: -70w + 70w = 0 -60 + 15w = 40 + 0 -60 + 15w = 40 Add '60' to each side of the equation. -60 + 60 + 15w = 40 + 60 Combine like terms: -60 + 60 = 0 0 + 15w = 40 + 60 15w = 40 + 60 Combine like terms: 40 + 60 = 100 15w = 100 Divide each side by '15'. w = 6.666666667 Simplifying w = 6.666666667
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