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Simplifying 4(9v + 2) = (1 + 6v) + -10 Reorder the terms: 4(2 + 9v) = (1 + 6v) + -10 (2 * 4 + 9v * 4) = (1 + 6v) + -10 (8 + 36v) = (1 + 6v) + -10 Remove parenthesis around (1 + 6v) 8 + 36v = 1 + 6v + -10 Reorder the terms: 8 + 36v = 1 + -10 + 6v Combine like terms: 1 + -10 = -9 8 + 36v = -9 + 6v Solving 8 + 36v = -9 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 8 + 36v + -6v = -9 + 6v + -6v Combine like terms: 36v + -6v = 30v 8 + 30v = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 8 + 30v = -9 + 0 8 + 30v = -9 Add '-8' to each side of the equation. 8 + -8 + 30v = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 30v = -9 + -8 30v = -9 + -8 Combine like terms: -9 + -8 = -17 30v = -17 Divide each side by '30'. v = -0.5666666667 Simplifying v = -0.5666666667
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