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Simplifying -1(v + -4) + -5v = 30 + 7v Reorder the terms: -1(-4 + v) + -5v = 30 + 7v (-4 * -1 + v * -1) + -5v = 30 + 7v (4 + -1v) + -5v = 30 + 7v Combine like terms: -1v + -5v = -6v 4 + -6v = 30 + 7v Solving 4 + -6v = 30 + 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. 4 + -6v + -7v = 30 + 7v + -7v Combine like terms: -6v + -7v = -13v 4 + -13v = 30 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -13v = 30 + 0 4 + -13v = 30 Add '-4' to each side of the equation. 4 + -4 + -13v = 30 + -4 Combine like terms: 4 + -4 = 0 0 + -13v = 30 + -4 -13v = 30 + -4 Combine like terms: 30 + -4 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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