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Simplifying 5(v + -2) + 1 = 33 + -2v Reorder the terms: 5(-2 + v) + 1 = 33 + -2v (-2 * 5 + v * 5) + 1 = 33 + -2v (-10 + 5v) + 1 = 33 + -2v Reorder the terms: -10 + 1 + 5v = 33 + -2v Combine like terms: -10 + 1 = -9 -9 + 5v = 33 + -2v Solving -9 + 5v = 33 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -9 + 5v + 2v = 33 + -2v + 2v Combine like terms: 5v + 2v = 7v -9 + 7v = 33 + -2v + 2v Combine like terms: -2v + 2v = 0 -9 + 7v = 33 + 0 -9 + 7v = 33 Add '9' to each side of the equation. -9 + 9 + 7v = 33 + 9 Combine like terms: -9 + 9 = 0 0 + 7v = 33 + 9 7v = 33 + 9 Combine like terms: 33 + 9 = 42 7v = 42 Divide each side by '7'. v = 6 Simplifying v = 6
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