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Simplifying 4(v + -9) = -6v + 34 Reorder the terms: 4(-9 + v) = -6v + 34 (-9 * 4 + v * 4) = -6v + 34 (-36 + 4v) = -6v + 34 Reorder the terms: -36 + 4v = 34 + -6v Solving -36 + 4v = 34 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -36 + 4v + 6v = 34 + -6v + 6v Combine like terms: 4v + 6v = 10v -36 + 10v = 34 + -6v + 6v Combine like terms: -6v + 6v = 0 -36 + 10v = 34 + 0 -36 + 10v = 34 Add '36' to each side of the equation. -36 + 36 + 10v = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 10v = 34 + 36 10v = 34 + 36 Combine like terms: 34 + 36 = 70 10v = 70 Divide each side by '10'. v = 7 Simplifying v = 7
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