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Simplifying -1[4] * v + 7 = -1[10] * v + 37 Multiply -1 * 4 -4v + 7 = -1[10] * v + 37 Reorder the terms: 7 + -4v = -1[10] * v + 37 Multiply -1 * 10 7 + -4v = -10v + 37 Reorder the terms: 7 + -4v = 37 + -10v Solving 7 + -4v = 37 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 7 + -4v + 10v = 37 + -10v + 10v Combine like terms: -4v + 10v = 6v 7 + 6v = 37 + -10v + 10v Combine like terms: -10v + 10v = 0 7 + 6v = 37 + 0 7 + 6v = 37 Add '-7' to each side of the equation. 7 + -7 + 6v = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 6v = 37 + -7 6v = 37 + -7 Combine like terms: 37 + -7 = 30 6v = 30 Divide each side by '6'. v = 5 Simplifying v = 5
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