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Simplifying 5(1 + 6v) + -3 = -82 (1 * 5 + 6v * 5) + -3 = -82 (5 + 30v) + -3 = -82 Reorder the terms: 5 + -3 + 30v = -82 Combine like terms: 5 + -3 = 2 2 + 30v = -82 Solving 2 + 30v = -82 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 30v = -82 + -2 Combine like terms: 2 + -2 = 0 0 + 30v = -82 + -2 30v = -82 + -2 Combine like terms: -82 + -2 = -84 30v = -84 Divide each side by '30'. v = -2.8 Simplifying v = -2.8
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