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Simplifying 7(v + -6) + -1 = -1 + -7v Reorder the terms: 7(-6 + v) + -1 = -1 + -7v (-6 * 7 + v * 7) + -1 = -1 + -7v (-42 + 7v) + -1 = -1 + -7v Reorder the terms: -42 + -1 + 7v = -1 + -7v Combine like terms: -42 + -1 = -43 -43 + 7v = -1 + -7v Solving -43 + 7v = -1 + -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. -43 + 7v + 7v = -1 + -7v + 7v Combine like terms: 7v + 7v = 14v -43 + 14v = -1 + -7v + 7v Combine like terms: -7v + 7v = 0 -43 + 14v = -1 + 0 -43 + 14v = -1 Add '43' to each side of the equation. -43 + 43 + 14v = -1 + 43 Combine like terms: -43 + 43 = 0 0 + 14v = -1 + 43 14v = -1 + 43 Combine like terms: -1 + 43 = 42 14v = 42 Divide each side by '14'. v = 3 Simplifying v = 3
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