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Simplifying 3 + 3(-2v + 7) = 29 + -5v Reorder the terms: 3 + 3(7 + -2v) = 29 + -5v 3 + (7 * 3 + -2v * 3) = 29 + -5v 3 + (21 + -6v) = 29 + -5v Combine like terms: 3 + 21 = 24 24 + -6v = 29 + -5v Solving 24 + -6v = 29 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 24 + -6v + 5v = 29 + -5v + 5v Combine like terms: -6v + 5v = -1v 24 + -1v = 29 + -5v + 5v Combine like terms: -5v + 5v = 0 24 + -1v = 29 + 0 24 + -1v = 29 Add '-24' to each side of the equation. 24 + -24 + -1v = 29 + -24 Combine like terms: 24 + -24 = 0 0 + -1v = 29 + -24 -1v = 29 + -24 Combine like terms: 29 + -24 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5
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