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Simplifying 5(3 + v) + 39 = 13v (3 * 5 + v * 5) + 39 = 13v (15 + 5v) + 39 = 13v Reorder the terms: 15 + 39 + 5v = 13v Combine like terms: 15 + 39 = 54 54 + 5v = 13v Solving 54 + 5v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 54 + 5v + -13v = 13v + -13v Combine like terms: 5v + -13v = -8v 54 + -8v = 13v + -13v Combine like terms: 13v + -13v = 0 54 + -8v = 0 Add '-54' to each side of the equation. 54 + -54 + -8v = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -8v = 0 + -54 -8v = 0 + -54 Combine like terms: 0 + -54 = -54 -8v = -54 Divide each side by '-8'. v = 6.75 Simplifying v = 6.75
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