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Simplifying 78 + 9 = 4(v + -9) Combine like terms: 78 + 9 = 87 87 = 4(v + -9) Reorder the terms: 87 = 4(-9 + v) 87 = (-9 * 4 + v * 4) 87 = (-36 + 4v) Solving 87 = -36 + 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. 87 + -4v = -36 + 4v + -4v Combine like terms: 4v + -4v = 0 87 + -4v = -36 + 0 87 + -4v = -36 Add '-87' to each side of the equation. 87 + -87 + -4v = -36 + -87 Combine like terms: 87 + -87 = 0 0 + -4v = -36 + -87 -4v = -36 + -87 Combine like terms: -36 + -87 = -123 -4v = -123 Divide each side by '-4'. v = 30.75 Simplifying v = 30.75
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