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Simplifying 4(9v + 2) = 6(1 + 6w) + -10 Reorder the terms: 4(2 + 9v) = 6(1 + 6w) + -10 (2 * 4 + 9v * 4) = 6(1 + 6w) + -10 (8 + 36v) = 6(1 + 6w) + -10 8 + 36v = (1 * 6 + 6w * 6) + -10 8 + 36v = (6 + 36w) + -10 Reorder the terms: 8 + 36v = 6 + -10 + 36w Combine like terms: 6 + -10 = -4 8 + 36v = -4 + 36w Solving 8 + 36v = -4 + 36w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 36v = -4 + -8 + 36w Combine like terms: 8 + -8 = 0 0 + 36v = -4 + -8 + 36w 36v = -4 + -8 + 36w Combine like terms: -4 + -8 = -12 36v = -12 + 36w Divide each side by '36'. v = -0.3333333333 + w Simplifying v = -0.3333333333 + w
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