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Simplifying -6(5v + -2) = -3v + 39 Reorder the terms: -6(-2 + 5v) = -3v + 39 (-2 * -6 + 5v * -6) = -3v + 39 (12 + -30v) = -3v + 39 Reorder the terms: 12 + -30v = 39 + -3v Solving 12 + -30v = 39 + -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. 12 + -30v + 3v = 39 + -3v + 3v Combine like terms: -30v + 3v = -27v 12 + -27v = 39 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + -27v = 39 + 0 12 + -27v = 39 Add '-12' to each side of the equation. 12 + -12 + -27v = 39 + -12 Combine like terms: 12 + -12 = 0 0 + -27v = 39 + -12 -27v = 39 + -12 Combine like terms: 39 + -12 = 27 -27v = 27 Divide each side by '-27'. v = -1 Simplifying v = -1
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