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Simplifying 7(v + -7) + -1 = -4(-7 + 8) + -9v Reorder the terms: 7(-7 + v) + -1 = -4(-7 + 8) + -9v (-7 * 7 + v * 7) + -1 = -4(-7 + 8) + -9v (-49 + 7v) + -1 = -4(-7 + 8) + -9v Reorder the terms: -49 + -1 + 7v = -4(-7 + 8) + -9v Combine like terms: -49 + -1 = -50 -50 + 7v = -4(-7 + 8) + -9v Combine like terms: -7 + 8 = 1 -50 + 7v = -4(1) + -9v Multiply -4 * 1 -50 + 7v = -4 + -9v Solving -50 + 7v = -4 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -50 + 7v + 9v = -4 + -9v + 9v Combine like terms: 7v + 9v = 16v -50 + 16v = -4 + -9v + 9v Combine like terms: -9v + 9v = 0 -50 + 16v = -4 + 0 -50 + 16v = -4 Add '50' to each side of the equation. -50 + 50 + 16v = -4 + 50 Combine like terms: -50 + 50 = 0 0 + 16v = -4 + 50 16v = -4 + 50 Combine like terms: -4 + 50 = 46 16v = 46 Divide each side by '16'. v = 2.875 Simplifying v = 2.875
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