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Simplifying 5(v + 5) = 7v + 33 Reorder the terms: 5(5 + v) = 7v + 33 (5 * 5 + v * 5) = 7v + 33 (25 + 5v) = 7v + 33 Reorder the terms: 25 + 5v = 33 + 7v Solving 25 + 5v = 33 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 25 + 5v + -7v = 33 + 7v + -7v Combine like terms: 5v + -7v = -2v 25 + -2v = 33 + 7v + -7v Combine like terms: 7v + -7v = 0 25 + -2v = 33 + 0 25 + -2v = 33 Add '-25' to each side of the equation. 25 + -25 + -2v = 33 + -25 Combine like terms: 25 + -25 = 0 0 + -2v = 33 + -25 -2v = 33 + -25 Combine like terms: 33 + -25 = 8 -2v = 8 Divide each side by '-2'. v = -4 Simplifying v = -4
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