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Simplifying -9(v + 4) + 4v + 7 = 5v + 6 Reorder the terms: -9(4 + v) + 4v + 7 = 5v + 6 (4 * -9 + v * -9) + 4v + 7 = 5v + 6 (-36 + -9v) + 4v + 7 = 5v + 6 Reorder the terms: -36 + 7 + -9v + 4v = 5v + 6 Combine like terms: -36 + 7 = -29 -29 + -9v + 4v = 5v + 6 Combine like terms: -9v + 4v = -5v -29 + -5v = 5v + 6 Reorder the terms: -29 + -5v = 6 + 5v Solving -29 + -5v = 6 + 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. -29 + -5v + -5v = 6 + 5v + -5v Combine like terms: -5v + -5v = -10v -29 + -10v = 6 + 5v + -5v Combine like terms: 5v + -5v = 0 -29 + -10v = 6 + 0 -29 + -10v = 6 Add '29' to each side of the equation. -29 + 29 + -10v = 6 + 29 Combine like terms: -29 + 29 = 0 0 + -10v = 6 + 29 -10v = 6 + 29 Combine like terms: 6 + 29 = 35 -10v = 35 Divide each side by '-10'. v = -3.5 Simplifying v = -3.5
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