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Simplifying 6[5 + -8w] + 12 = -4 [5 * 6 + -8w * 6] + 12 = -4 [30 + -48w] + 12 = -4 Reorder the terms: 30 + 12 + -48w = -4 Combine like terms: 30 + 12 = 42 42 + -48w = -4 Solving 42 + -48w = -4 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -48w = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -48w = -4 + -42 -48w = -4 + -42 Combine like terms: -4 + -42 = -46 -48w = -46 Divide each side by '-48'. w = 0.9583333333 Simplifying w = 0.9583333333
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