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Simplifying -9(v + 4) + 4v + 6 = 5v + 10 Reorder the terms: -9(4 + v) + 4v + 6 = 5v + 10 (4 * -9 + v * -9) + 4v + 6 = 5v + 10 (-36 + -9v) + 4v + 6 = 5v + 10 Reorder the terms: -36 + 6 + -9v + 4v = 5v + 10 Combine like terms: -36 + 6 = -30 -30 + -9v + 4v = 5v + 10 Combine like terms: -9v + 4v = -5v -30 + -5v = 5v + 10 Reorder the terms: -30 + -5v = 10 + 5v Solving -30 + -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. -30 + -5v + -5v = 10 + 5v + -5v Combine like terms: -5v + -5v = -10v -30 + -10v = 10 + 5v + -5v Combine like terms: 5v + -5v = 0 -30 + -10v = 10 + 0 -30 + -10v = 10 Add '30' to each side of the equation. -30 + 30 + -10v = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -10v = 10 + 30 -10v = 10 + 30 Combine like terms: 10 + 30 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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