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Simplifying -6(5v + -2) = -5v + -13 Reorder the terms: -6(-2 + 5v) = -5v + -13 (-2 * -6 + 5v * -6) = -5v + -13 (12 + -30v) = -5v + -13 Reorder the terms: 12 + -30v = -13 + -5v Solving 12 + -30v = -13 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 12 + -30v + 5v = -13 + -5v + 5v Combine like terms: -30v + 5v = -25v 12 + -25v = -13 + -5v + 5v Combine like terms: -5v + 5v = 0 12 + -25v = -13 + 0 12 + -25v = -13 Add '-12' to each side of the equation. 12 + -12 + -25v = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -25v = -13 + -12 -25v = -13 + -12 Combine like terms: -13 + -12 = -25 -25v = -25 Divide each side by '-25'. v = 1 Simplifying v = 1
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