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Simplifying 7(v + 6) + 6v = -23 Reorder the terms: 7(6 + v) + 6v = -23 (6 * 7 + v * 7) + 6v = -23 (42 + 7v) + 6v = -23 Combine like terms: 7v + 6v = 13v 42 + 13v = -23 Solving 42 + 13v = -23 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 13v = -23 + -42 Combine like terms: 42 + -42 = 0 0 + 13v = -23 + -42 13v = -23 + -42 Combine like terms: -23 + -42 = -65 13v = -65 Divide each side by '13'. v = -5 Simplifying v = -5
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