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Simplifying -7v + 43 = 6(v + 5) Reorder the terms: 43 + -7v = 6(v + 5) Reorder the terms: 43 + -7v = 6(5 + v) 43 + -7v = (5 * 6 + v * 6) 43 + -7v = (30 + 6v) Solving 43 + -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. 43 + -7v + -6v = 30 + 6v + -6v Combine like terms: -7v + -6v = -13v 43 + -13v = 30 + 6v + -6v Combine like terms: 6v + -6v = 0 43 + -13v = 30 + 0 43 + -13v = 30 Add '-43' to each side of the equation. 43 + -43 + -13v = 30 + -43 Combine like terms: 43 + -43 = 0 0 + -13v = 30 + -43 -13v = 30 + -43 Combine like terms: 30 + -43 = -13 -13v = -13 Divide each side by '-13'. v = 1 Simplifying v = 1
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