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Simplifying 29 + 8v = -3v + 6(4v + -6) Reorder the terms: 29 + 8v = -3v + 6(-6 + 4v) 29 + 8v = -3v + (-6 * 6 + 4v * 6) 29 + 8v = -3v + (-36 + 24v) Reorder the terms: 29 + 8v = -36 + -3v + 24v Combine like terms: -3v + 24v = 21v 29 + 8v = -36 + 21v Solving 29 + 8v = -36 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 29 + 8v + -21v = -36 + 21v + -21v Combine like terms: 8v + -21v = -13v 29 + -13v = -36 + 21v + -21v Combine like terms: 21v + -21v = 0 29 + -13v = -36 + 0 29 + -13v = -36 Add '-29' to each side of the equation. 29 + -29 + -13v = -36 + -29 Combine like terms: 29 + -29 = 0 0 + -13v = -36 + -29 -13v = -36 + -29 Combine like terms: -36 + -29 = -65 -13v = -65 Divide each side by '-13'. v = 5 Simplifying v = 5
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