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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 = -1v -29 + -6v = -5 + -1v Solving -29 + -6v = -5 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -29 + -6v + v = -5 + -1v + v Combine like terms: -6v + v = -5v -29 + -5v = -5 + -1v + v Combine like terms: -1v + v = 0 -29 + -5v = -5 + 0 -29 + -5v = -5 Add '29' to each side of the equation. -29 + 29 + -5v = -5 + 29 Combine like terms: -29 + 29 = 0 0 + -5v = -5 + 29 -5v = -5 + 29 Combine like terms: -5 + 29 = 24 -5v = 24 Divide each side by '-5'. v = -4.8 Simplifying v = -4.8
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