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Simplifying 8w + -30 = 15w + 12 Reorder the terms: -30 + 8w = 15w + 12 Reorder the terms: -30 + 8w = 12 + 15w Solving -30 + 8w = 12 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -30 + 8w + -15w = 12 + 15w + -15w Combine like terms: 8w + -15w = -7w -30 + -7w = 12 + 15w + -15w Combine like terms: 15w + -15w = 0 -30 + -7w = 12 + 0 -30 + -7w = 12 Add '30' to each side of the equation. -30 + 30 + -7w = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -7w = 12 + 30 -7w = 12 + 30 Combine like terms: 12 + 30 = 42 -7w = 42 Divide each side by '-7'. w = -6 Simplifying w = -6
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