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Simplifying 83 = -8 + -7(v + -6) Reorder the terms: 83 = -8 + -7(-6 + v) 83 = -8 + (-6 * -7 + v * -7) 83 = -8 + (42 + -7v) Combine like terms: -8 + 42 = 34 83 = 34 + -7v Solving 83 = 34 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 83 + 7v = 34 + -7v + 7v Combine like terms: -7v + 7v = 0 83 + 7v = 34 + 0 83 + 7v = 34 Add '-83' to each side of the equation. 83 + -83 + 7v = 34 + -83 Combine like terms: 83 + -83 = 0 0 + 7v = 34 + -83 7v = 34 + -83 Combine like terms: 34 + -83 = -49 7v = -49 Divide each side by '7'. v = -7 Simplifying v = -7
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