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Simplifying -4(-6 + -5v) + -7v = 102 (-6 * -4 + -5v * -4) + -7v = 102 (24 + 20v) + -7v = 102 Combine like terms: 20v + -7v = 13v 24 + 13v = 102 Solving 24 + 13v = 102 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 13v = 102 + -24 Combine like terms: 24 + -24 = 0 0 + 13v = 102 + -24 13v = 102 + -24 Combine like terms: 102 + -24 = 78 13v = 78 Divide each side by '13'. v = 6 Simplifying v = 6
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