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Simplifying 8 + -7(3v + -1) = -37 + -8v Reorder the terms: 8 + -7(-1 + 3v) = -37 + -8v 8 + (-1 * -7 + 3v * -7) = -37 + -8v 8 + (7 + -21v) = -37 + -8v Combine like terms: 8 + 7 = 15 15 + -21v = -37 + -8v Solving 15 + -21v = -37 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 15 + -21v + 8v = -37 + -8v + 8v Combine like terms: -21v + 8v = -13v 15 + -13v = -37 + -8v + 8v Combine like terms: -8v + 8v = 0 15 + -13v = -37 + 0 15 + -13v = -37 Add '-15' to each side of the equation. 15 + -15 + -13v = -37 + -15 Combine like terms: 15 + -15 = 0 0 + -13v = -37 + -15 -13v = -37 + -15 Combine like terms: -37 + -15 = -52 -13v = -52 Divide each side by '-13'. v = 4 Simplifying v = 4
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