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Simplifying 5(3w + -6) = 8w + -2 Reorder the terms: 5(-6 + 3w) = 8w + -2 (-6 * 5 + 3w * 5) = 8w + -2 (-30 + 15w) = 8w + -2 Reorder the terms: -30 + 15w = -2 + 8w Solving -30 + 15w = -2 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -30 + 15w + -8w = -2 + 8w + -8w Combine like terms: 15w + -8w = 7w -30 + 7w = -2 + 8w + -8w Combine like terms: 8w + -8w = 0 -30 + 7w = -2 + 0 -30 + 7w = -2 Add '30' to each side of the equation. -30 + 30 + 7w = -2 + 30 Combine like terms: -30 + 30 = 0 0 + 7w = -2 + 30 7w = -2 + 30 Combine like terms: -2 + 30 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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