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Simplifying -1 = 4v + 3(v + -5) Reorder the terms: -1 = 4v + 3(-5 + v) -1 = 4v + (-5 * 3 + v * 3) -1 = 4v + (-15 + 3v) Reorder the terms: -1 = -15 + 4v + 3v Combine like terms: 4v + 3v = 7v -1 = -15 + 7v Solving -1 = -15 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -1 + -7v = -15 + 7v + -7v Combine like terms: 7v + -7v = 0 -1 + -7v = -15 + 0 -1 + -7v = -15 Add '1' to each side of the equation. -1 + 1 + -7v = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -7v = -15 + 1 -7v = -15 + 1 Combine like terms: -15 + 1 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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