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Simplifying -8v + 43 = 5(v + 6) Reorder the terms: 43 + -8v = 5(v + 6) Reorder the terms: 43 + -8v = 5(6 + v) 43 + -8v = (6 * 5 + v * 5) 43 + -8v = (30 + 5v) Solving 43 + -8v = 30 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 43 + -8v + -5v = 30 + 5v + -5v Combine like terms: -8v + -5v = -13v 43 + -13v = 30 + 5v + -5v Combine like terms: 5v + -5v = 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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