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Simplifying -9(v + 2) + 4v + 5 = 5v + 10 Reorder the terms: -9(2 + v) + 4v + 5 = 5v + 10 (2 * -9 + v * -9) + 4v + 5 = 5v + 10 (-18 + -9v) + 4v + 5 = 5v + 10 Reorder the terms: -18 + 5 + -9v + 4v = 5v + 10 Combine like terms: -18 + 5 = -13 -13 + -9v + 4v = 5v + 10 Combine like terms: -9v + 4v = -5v -13 + -5v = 5v + 10 Reorder the terms: -13 + -5v = 10 + 5v Solving -13 + -5v = 10 + 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. -13 + -5v + -5v = 10 + 5v + -5v Combine like terms: -5v + -5v = -10v -13 + -10v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -13 + -10v = 10 + 0 -13 + -10v = 10 Add '13' to each side of the equation. -13 + 13 + -10v = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -10v = 10 + 13 -10v = 10 + 13 Combine like terms: 10 + 13 = 23 -10v = 23 Divide each side by '-10'. v = -2.3 Simplifying v = -2.3
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