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Simplifying 10[1 + -3v] = -8[6v + 1] [1 * 10 + -3v * 10] = -8[6v + 1] [10 + -30v] = -8[6v + 1] Reorder the terms: 10 + -30v = -8[1 + 6v] 10 + -30v = [1 * -8 + 6v * -8] 10 + -30v = [-8 + -48v] Solving 10 + -30v = -8 + -48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48v' to each side of the equation. 10 + -30v + 48v = -8 + -48v + 48v Combine like terms: -30v + 48v = 18v 10 + 18v = -8 + -48v + 48v Combine like terms: -48v + 48v = 0 10 + 18v = -8 + 0 10 + 18v = -8 Add '-10' to each side of the equation. 10 + -10 + 18v = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 18v = -8 + -10 18v = -8 + -10 Combine like terms: -8 + -10 = -18 18v = -18 Divide each side by '18'. v = -1 Simplifying v = -1
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