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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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