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Simplifying 3(-5v + 7) = -7v + 37 Reorder the terms: 3(7 + -5v) = -7v + 37 (7 * 3 + -5v * 3) = -7v + 37 (21 + -15v) = -7v + 37 Reorder the terms: 21 + -15v = 37 + -7v Solving 21 + -15v = 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. 21 + -15v + 7v = 37 + -7v + 7v Combine like terms: -15v + 7v = -8v 21 + -8v = 37 + -7v + 7v Combine like terms: -7v + 7v = 0 21 + -8v = 37 + 0 21 + -8v = 37 Add '-21' to each side of the equation. 21 + -21 + -8v = 37 + -21 Combine like terms: 21 + -21 = 0 0 + -8v = 37 + -21 -8v = 37 + -21 Combine like terms: 37 + -21 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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