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Simplifying 3(v + 7) = 8v + -19 Reorder the terms: 3(7 + v) = 8v + -19 (7 * 3 + v * 3) = 8v + -19 (21 + 3v) = 8v + -19 Reorder the terms: 21 + 3v = -19 + 8v Solving 21 + 3v = -19 + 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. 21 + 3v + -8v = -19 + 8v + -8v Combine like terms: 3v + -8v = -5v 21 + -5v = -19 + 8v + -8v Combine like terms: 8v + -8v = 0 21 + -5v = -19 + 0 21 + -5v = -19 Add '-21' to each side of the equation. 21 + -21 + -5v = -19 + -21 Combine like terms: 21 + -21 = 0 0 + -5v = -19 + -21 -5v = -19 + -21 Combine like terms: -19 + -21 = -40 -5v = -40 Divide each side by '-5'. v = 8 Simplifying v = 8
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