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Simplifying -2v + 5(7v + 4) = -145 Reorder the terms: -2v + 5(4 + 7v) = -145 -2v + (4 * 5 + 7v * 5) = -145 -2v + (20 + 35v) = -145 Reorder the terms: 20 + -2v + 35v = -145 Combine like terms: -2v + 35v = 33v 20 + 33v = -145 Solving 20 + 33v = -145 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 33v = -145 + -20 Combine like terms: 20 + -20 = 0 0 + 33v = -145 + -20 33v = -145 + -20 Combine like terms: -145 + -20 = -165 33v = -165 Divide each side by '33'. v = -5 Simplifying v = -5
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