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Simplifying 30 + -7v = 5v + -6(3v + 2) Reorder the terms: 30 + -7v = 5v + -6(2 + 3v) 30 + -7v = 5v + (2 * -6 + 3v * -6) 30 + -7v = 5v + (-12 + -18v) Reorder the terms: 30 + -7v = -12 + 5v + -18v Combine like terms: 5v + -18v = -13v 30 + -7v = -12 + -13v Solving 30 + -7v = -12 + -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. 30 + -7v + 13v = -12 + -13v + 13v Combine like terms: -7v + 13v = 6v 30 + 6v = -12 + -13v + 13v Combine like terms: -13v + 13v = 0 30 + 6v = -12 + 0 30 + 6v = -12 Add '-30' to each side of the equation. 30 + -30 + 6v = -12 + -30 Combine like terms: 30 + -30 = 0 0 + 6v = -12 + -30 6v = -12 + -30 Combine like terms: -12 + -30 = -42 6v = -42 Divide each side by '6'. v = -7 Simplifying v = -7
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