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Simplifying (-5) * v + -1 = 7(v + 5) Reorder the terms: -1 + -5v = 7(v + 5) Reorder the terms: -1 + -5v = 7(5 + v) -1 + -5v = (5 * 7 + v * 7) -1 + -5v = (35 + 7v) Solving -1 + -5v = 35 + 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 + -5v + -7v = 35 + 7v + -7v Combine like terms: -5v + -7v = -12v -1 + -12v = 35 + 7v + -7v Combine like terms: 7v + -7v = 0 -1 + -12v = 35 + 0 -1 + -12v = 35 Add '1' to each side of the equation. -1 + 1 + -12v = 35 + 1 Combine like terms: -1 + 1 = 0 0 + -12v = 35 + 1 -12v = 35 + 1 Combine like terms: 35 + 1 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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