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Simplifying 7(v + -6) + 6v = -3 Reorder the terms: 7(-6 + v) + 6v = -3 (-6 * 7 + v * 7) + 6v = -3 (-42 + 7v) + 6v = -3 Combine like terms: 7v + 6v = 13v -42 + 13v = -3 Solving -42 + 13v = -3 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 = -3 + 42 Combine like terms: -42 + 42 = 0 0 + 13v = -3 + 42 13v = -3 + 42 Combine like terms: -3 + 42 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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