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Simplifying -9(v + 3) + 4v + 6 = 8v + 10 Reorder the terms: -9(3 + v) + 4v + 6 = 8v + 10 (3 * -9 + v * -9) + 4v + 6 = 8v + 10 (-27 + -9v) + 4v + 6 = 8v + 10 Reorder the terms: -27 + 6 + -9v + 4v = 8v + 10 Combine like terms: -27 + 6 = -21 -21 + -9v + 4v = 8v + 10 Combine like terms: -9v + 4v = -5v -21 + -5v = 8v + 10 Reorder the terms: -21 + -5v = 10 + 8v Solving -21 + -5v = 10 + 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. -21 + -5v + -8v = 10 + 8v + -8v Combine like terms: -5v + -8v = -13v -21 + -13v = 10 + 8v + -8v Combine like terms: 8v + -8v = 0 -21 + -13v = 10 + 0 -21 + -13v = 10 Add '21' to each side of the equation. -21 + 21 + -13v = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -13v = 10 + 21 -13v = 10 + 21 Combine like terms: 10 + 21 = 31 -13v = 31 Divide each side by '-13'. v = -2.384615385 Simplifying v = -2.384615385
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