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Simplifying -6v + -29 = -9v + -5(v + 1) Reorder the terms: -29 + -6v = -9v + -5(v + 1) Reorder the terms: -29 + -6v = -9v + -5(1 + v) -29 + -6v = -9v + (1 * -5 + v * -5) -29 + -6v = -9v + (-5 + -5v) Reorder the terms: -29 + -6v = -5 + -9v + -5v Combine like terms: -9v + -5v = -14v -29 + -6v = -5 + -14v Solving -29 + -6v = -5 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -29 + -6v + 14v = -5 + -14v + 14v Combine like terms: -6v + 14v = 8v -29 + 8v = -5 + -14v + 14v Combine like terms: -14v + 14v = 0 -29 + 8v = -5 + 0 -29 + 8v = -5 Add '29' to each side of the equation. -29 + 29 + 8v = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 8v = -5 + 29 8v = -5 + 29 Combine like terms: -5 + 29 = 24 8v = 24 Divide each side by '8'. v = 3 Simplifying v = 3
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