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Simplifying -8(v + -1) = 7v + -37 Reorder the terms: -8(-1 + v) = 7v + -37 (-1 * -8 + v * -8) = 7v + -37 (8 + -8v) = 7v + -37 Reorder the terms: 8 + -8v = -37 + 7v Solving 8 + -8v = -37 + 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. 8 + -8v + -7v = -37 + 7v + -7v Combine like terms: -8v + -7v = -15v 8 + -15v = -37 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + -15v = -37 + 0 8 + -15v = -37 Add '-8' to each side of the equation. 8 + -8 + -15v = -37 + -8 Combine like terms: 8 + -8 = 0 0 + -15v = -37 + -8 -15v = -37 + -8 Combine like terms: -37 + -8 = -45 -15v = -45 Divide each side by '-15'. v = 3 Simplifying v = 3
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