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Simplifying -45 = 9v + -4(3) + -5v + 7(5) Multiply -4 * 3 -45 = 9v + -12 + -5v + 7(5) Multiply 7 * 5 -45 = 9v + -12 + -5v + 35 Reorder the terms: -45 = -12 + 35 + 9v + -5v Combine like terms: -12 + 35 = 23 -45 = 23 + 9v + -5v Combine like terms: 9v + -5v = 4v -45 = 23 + 4v Solving -45 = 23 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -45 + -4v = 23 + 4v + -4v Combine like terms: 4v + -4v = 0 -45 + -4v = 23 + 0 -45 + -4v = 23 Add '45' to each side of the equation. -45 + 45 + -4v = 23 + 45 Combine like terms: -45 + 45 = 0 0 + -4v = 23 + 45 -4v = 23 + 45 Combine like terms: 23 + 45 = 68 -4v = 68 Divide each side by '-4'. v = -17 Simplifying v = -17
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