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Simplifying -5 + 6(-6v + -6) = 19 + -6v Reorder the terms: -5 + 6(-6 + -6v) = 19 + -6v -5 + (-6 * 6 + -6v * 6) = 19 + -6v -5 + (-36 + -36v) = 19 + -6v Combine like terms: -5 + -36 = -41 -41 + -36v = 19 + -6v Solving -41 + -36v = 19 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -41 + -36v + 6v = 19 + -6v + 6v Combine like terms: -36v + 6v = -30v -41 + -30v = 19 + -6v + 6v Combine like terms: -6v + 6v = 0 -41 + -30v = 19 + 0 -41 + -30v = 19 Add '41' to each side of the equation. -41 + 41 + -30v = 19 + 41 Combine like terms: -41 + 41 = 0 0 + -30v = 19 + 41 -30v = 19 + 41 Combine like terms: 19 + 41 = 60 -30v = 60 Divide each side by '-30'. v = -2 Simplifying v = -2
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