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Simplifying 6v + -7(1 + 4v) = -183 6v + (1 * -7 + 4v * -7) = -183 6v + (-7 + -28v) = -183 Reorder the terms: -7 + 6v + -28v = -183 Combine like terms: 6v + -28v = -22v -7 + -22v = -183 Solving -7 + -22v = -183 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -22v = -183 + 7 Combine like terms: -7 + 7 = 0 0 + -22v = -183 + 7 -22v = -183 + 7 Combine like terms: -183 + 7 = -176 -22v = -176 Divide each side by '-22'. v = 8 Simplifying v = 8
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