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Simplifying 6 + 5(-7 + 7v) = 146 6 + (-7 * 5 + 7v * 5) = 146 6 + (-35 + 35v) = 146 Combine like terms: 6 + -35 = -29 -29 + 35v = 146 Solving -29 + 35v = 146 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 35v = 146 + 29 Combine like terms: -29 + 29 = 0 0 + 35v = 146 + 29 35v = 146 + 29 Combine like terms: 146 + 29 = 175 35v = 175 Divide each side by '35'. v = 5 Simplifying v = 5
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