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Simplifying 6(1 + 4v) + -3 = -165 (1 * 6 + 4v * 6) + -3 = -165 (6 + 24v) + -3 = -165 Reorder the terms: 6 + -3 + 24v = -165 Combine like terms: 6 + -3 = 3 3 + 24v = -165 Solving 3 + 24v = -165 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 24v = -165 + -3 Combine like terms: 3 + -3 = 0 0 + 24v = -165 + -3 24v = -165 + -3 Combine like terms: -165 + -3 = -168 24v = -168 Divide each side by '24'. v = -7 Simplifying v = -7
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