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Simplifying -7v + -6(v + -3) = 83 Reorder the terms: -7v + -6(-3 + v) = 83 -7v + (-3 * -6 + v * -6) = 83 -7v + (18 + -6v) = 83 Reorder the terms: 18 + -7v + -6v = 83 Combine like terms: -7v + -6v = -13v 18 + -13v = 83 Solving 18 + -13v = 83 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -13v = 83 + -18 Combine like terms: 18 + -18 = 0 0 + -13v = 83 + -18 -13v = 83 + -18 Combine like terms: 83 + -18 = 65 -13v = 65 Divide each side by '-13'. v = -5 Simplifying v = -5
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