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Simplifying 7v + 35 = -6v + -30 Reorder the terms: 35 + 7v = -6v + -30 Reorder the terms: 35 + 7v = -30 + -6v Solving 35 + 7v = -30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 35 + 7v + 6v = -30 + -6v + 6v Combine like terms: 7v + 6v = 13v 35 + 13v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 35 + 13v = -30 + 0 35 + 13v = -30 Add '-35' to each side of the equation. 35 + -35 + 13v = -30 + -35 Combine like terms: 35 + -35 = 0 0 + 13v = -30 + -35 13v = -30 + -35 Combine like terms: -30 + -35 = -65 13v = -65 Divide each side by '13'. v = -5 Simplifying v = -5
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