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