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Simplifying 7(-1v + 5) + -4 = 36 + -6v Reorder the terms: 7(5 + -1v) + -4 = 36 + -6v (5 * 7 + -1v * 7) + -4 = 36 + -6v (35 + -7v) + -4 = 36 + -6v Reorder the terms: 35 + -4 + -7v = 36 + -6v Combine like terms: 35 + -4 = 31 31 + -7v = 36 + -6v Solving 31 + -7v = 36 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 31 + -7v + 6v = 36 + -6v + 6v Combine like terms: -7v + 6v = -1v 31 + -1v = 36 + -6v + 6v Combine like terms: -6v + 6v = 0 31 + -1v = 36 + 0 31 + -1v = 36 Add '-31' to each side of the equation. 31 + -31 + -1v = 36 + -31 Combine like terms: 31 + -31 = 0 0 + -1v = 36 + -31 -1v = 36 + -31 Combine like terms: 36 + -31 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5
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