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Simplifying 6(5 + -1w) = 2(x + 12) (5 * 6 + -1w * 6) = 2(x + 12) (30 + -6w) = 2(x + 12) Reorder the terms: 30 + -6w = 2(12 + x) 30 + -6w = (12 * 2 + x * 2) 30 + -6w = (24 + 2x) Solving 30 + -6w = 24 + 2x Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -6w = 24 + -30 + 2x Combine like terms: 30 + -30 = 0 0 + -6w = 24 + -30 + 2x -6w = 24 + -30 + 2x Combine like terms: 24 + -30 = -6 -6w = -6 + 2x Divide each side by '-6'. w = 1 + -0.3333333333x Simplifying w = 1 + -0.3333333333x
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