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Simplifying -7(v + 3) + 4v + 5 = 8v + 9 Reorder the terms: -7(3 + v) + 4v + 5 = 8v + 9 (3 * -7 + v * -7) + 4v + 5 = 8v + 9 (-21 + -7v) + 4v + 5 = 8v + 9 Reorder the terms: -21 + 5 + -7v + 4v = 8v + 9 Combine like terms: -21 + 5 = -16 -16 + -7v + 4v = 8v + 9 Combine like terms: -7v + 4v = -3v -16 + -3v = 8v + 9 Reorder the terms: -16 + -3v = 9 + 8v Solving -16 + -3v = 9 + 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. -16 + -3v + -8v = 9 + 8v + -8v Combine like terms: -3v + -8v = -11v -16 + -11v = 9 + 8v + -8v Combine like terms: 8v + -8v = 0 -16 + -11v = 9 + 0 -16 + -11v = 9 Add '16' to each side of the equation. -16 + 16 + -11v = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -11v = 9 + 16 -11v = 9 + 16 Combine like terms: 9 + 16 = 25 -11v = 25 Divide each side by '-11'. v = -2.272727273 Simplifying v = -2.272727273
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