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Simplifying 30 + -5v = -7(9v + 6) Reorder the terms: 30 + -5v = -7(6 + 9v) 30 + -5v = (6 * -7 + 9v * -7) 30 + -5v = (-42 + -63v) Solving 30 + -5v = -42 + -63v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '63v' to each side of the equation. 30 + -5v + 63v = -42 + -63v + 63v Combine like terms: -5v + 63v = 58v 30 + 58v = -42 + -63v + 63v Combine like terms: -63v + 63v = 0 30 + 58v = -42 + 0 30 + 58v = -42 Add '-30' to each side of the equation. 30 + -30 + 58v = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 58v = -42 + -30 58v = -42 + -30 Combine like terms: -42 + -30 = -72 58v = -72 Divide each side by '58'. v = -1.24137931 Simplifying v = -1.24137931
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