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Simplifying -2v + 36 = 6(-2 + -7v) + 8 Reorder the terms: 36 + -2v = 6(-2 + -7v) + 8 36 + -2v = (-2 * 6 + -7v * 6) + 8 36 + -2v = (-12 + -42v) + 8 Reorder the terms: 36 + -2v = -12 + 8 + -42v Combine like terms: -12 + 8 = -4 36 + -2v = -4 + -42v Solving 36 + -2v = -4 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. 36 + -2v + 42v = -4 + -42v + 42v Combine like terms: -2v + 42v = 40v 36 + 40v = -4 + -42v + 42v Combine like terms: -42v + 42v = 0 36 + 40v = -4 + 0 36 + 40v = -4 Add '-36' to each side of the equation. 36 + -36 + 40v = -4 + -36 Combine like terms: 36 + -36 = 0 0 + 40v = -4 + -36 40v = -4 + -36 Combine like terms: -4 + -36 = -40 40v = -40 Divide each side by '40'. v = -1 Simplifying v = -1
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