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Simplifying 3(v + 5) + 25 = 8v + -10 Reorder the terms: 3(5 + v) + 25 = 8v + -10 (5 * 3 + v * 3) + 25 = 8v + -10 (15 + 3v) + 25 = 8v + -10 Reorder the terms: 15 + 25 + 3v = 8v + -10 Combine like terms: 15 + 25 = 40 40 + 3v = 8v + -10 Reorder the terms: 40 + 3v = -10 + 8v Solving 40 + 3v = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 40 + 3v + -8v = -10 + 8v + -8v Combine like terms: 3v + -8v = -5v 40 + -5v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 40 + -5v = -10 + 0 40 + -5v = -10 Add '-40' to each side of the equation. 40 + -40 + -5v = -10 + -40 Combine like terms: 40 + -40 = 0 0 + -5v = -10 + -40 -5v = -10 + -40 Combine like terms: -10 + -40 = -50 -5v = -50 Divide each side by '-5'. v = 10 Simplifying v = 10
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