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Simplifying -3v + 32 = -7v + 2(1 + -3v) Reorder the terms: 32 + -3v = -7v + 2(1 + -3v) 32 + -3v = -7v + (1 * 2 + -3v * 2) 32 + -3v = -7v + (2 + -6v) Reorder the terms: 32 + -3v = 2 + -7v + -6v Combine like terms: -7v + -6v = -13v 32 + -3v = 2 + -13v Solving 32 + -3v = 2 + -13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13v' to each side of the equation. 32 + -3v + 13v = 2 + -13v + 13v Combine like terms: -3v + 13v = 10v 32 + 10v = 2 + -13v + 13v Combine like terms: -13v + 13v = 0 32 + 10v = 2 + 0 32 + 10v = 2 Add '-32' to each side of the equation. 32 + -32 + 10v = 2 + -32 Combine like terms: 32 + -32 = 0 0 + 10v = 2 + -32 10v = 2 + -32 Combine like terms: 2 + -32 = -30 10v = -30 Divide each side by '10'. v = -3 Simplifying v = -3
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