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Simplifying -9(v + 4) + 4v + 6 = 8v + 7 Reorder the terms: -9(4 + v) + 4v + 6 = 8v + 7 (4 * -9 + v * -9) + 4v + 6 = 8v + 7 (-36 + -9v) + 4v + 6 = 8v + 7 Reorder the terms: -36 + 6 + -9v + 4v = 8v + 7 Combine like terms: -36 + 6 = -30 -30 + -9v + 4v = 8v + 7 Combine like terms: -9v + 4v = -5v -30 + -5v = 8v + 7 Reorder the terms: -30 + -5v = 7 + 8v Solving -30 + -5v = 7 + 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 = 7 + 8v + -8v Combine like terms: -5v + -8v = -13v -30 + -13v = 7 + 8v + -8v Combine like terms: 8v + -8v = 0 -30 + -13v = 7 + 0 -30 + -13v = 7 Add '30' to each side of the equation. -30 + 30 + -13v = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -13v = 7 + 30 -13v = 7 + 30 Combine like terms: 7 + 30 = 37 -13v = 37 Divide each side by '-13'. v = -2.846153846 Simplifying v = -2.846153846
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