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Simplifying 5(v + 6) = -8v + 43 Reorder the terms: 5(6 + v) = -8v + 43 (6 * 5 + v * 5) = -8v + 43 (30 + 5v) = -8v + 43 Reorder the terms: 30 + 5v = 43 + -8v Solving 30 + 5v = 43 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 30 + 5v + 8v = 43 + -8v + 8v Combine like terms: 5v + 8v = 13v 30 + 13v = 43 + -8v + 8v Combine like terms: -8v + 8v = 0 30 + 13v = 43 + 0 30 + 13v = 43 Add '-30' to each side of the equation. 30 + -30 + 13v = 43 + -30 Combine like terms: 30 + -30 = 0 0 + 13v = 43 + -30 13v = 43 + -30 Combine like terms: 43 + -30 = 13 13v = 13 Divide each side by '13'. v = 1 Simplifying v = 1
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