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Simplifying 3v + -10 = 8(v + 5) Reorder the terms: -10 + 3v = 8(v + 5) Reorder the terms: -10 + 3v = 8(5 + v) -10 + 3v = (5 * 8 + v * 8) -10 + 3v = (40 + 8v) Solving -10 + 3v = 40 + 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. -10 + 3v + -8v = 40 + 8v + -8v Combine like terms: 3v + -8v = -5v -10 + -5v = 40 + 8v + -8v Combine like terms: 8v + -8v = 0 -10 + -5v = 40 + 0 -10 + -5v = 40 Add '10' to each side of the equation. -10 + 10 + -5v = 40 + 10 Combine like terms: -10 + 10 = 0 0 + -5v = 40 + 10 -5v = 40 + 10 Combine like terms: 40 + 10 = 50 -5v = 50 Divide each side by '-5'. v = -10 Simplifying v = -10
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