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Simplifying -6v + -29 = -4v + -5(v + 1) Reorder the terms: -29 + -6v = -4v + -5(v + 1) Reorder the terms: -29 + -6v = -4v + -5(1 + v) -29 + -6v = -4v + (1 * -5 + v * -5) -29 + -6v = -4v + (-5 + -5v) Reorder the terms: -29 + -6v = -5 + -4v + -5v Combine like terms: -4v + -5v = -9v -29 + -6v = -5 + -9v Solving -29 + -6v = -5 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -29 + -6v + 9v = -5 + -9v + 9v Combine like terms: -6v + 9v = 3v -29 + 3v = -5 + -9v + 9v Combine like terms: -9v + 9v = 0 -29 + 3v = -5 + 0 -29 + 3v = -5 Add '29' to each side of the equation. -29 + 29 + 3v = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 3v = -5 + 29 3v = -5 + 29 Combine like terms: -5 + 29 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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