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Simplifying -5(v + -6) = 3v + -10 Reorder the terms: -5(-6 + v) = 3v + -10 (-6 * -5 + v * -5) = 3v + -10 (30 + -5v) = 3v + -10 Reorder the terms: 30 + -5v = -10 + 3v Solving 30 + -5v = -10 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 30 + -5v + -3v = -10 + 3v + -3v Combine like terms: -5v + -3v = -8v 30 + -8v = -10 + 3v + -3v Combine like terms: 3v + -3v = 0 30 + -8v = -10 + 0 30 + -8v = -10 Add '-30' to each side of the equation. 30 + -30 + -8v = -10 + -30 Combine like terms: 30 + -30 = 0 0 + -8v = -10 + -30 -8v = -10 + -30 Combine like terms: -10 + -30 = -40 -8v = -40 Divide each side by '-8'. v = 5 Simplifying v = 5
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