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Simplifying 6(v + 7) = -7v + -36 Reorder the terms: 6(7 + v) = -7v + -36 (7 * 6 + v * 6) = -7v + -36 (42 + 6v) = -7v + -36 Reorder the terms: 42 + 6v = -36 + -7v Solving 42 + 6v = -36 + -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. 42 + 6v + 7v = -36 + -7v + 7v Combine like terms: 6v + 7v = 13v 42 + 13v = -36 + -7v + 7v Combine like terms: -7v + 7v = 0 42 + 13v = -36 + 0 42 + 13v = -36 Add '-42' to each side of the equation. 42 + -42 + 13v = -36 + -42 Combine like terms: 42 + -42 = 0 0 + 13v = -36 + -42 13v = -36 + -42 Combine like terms: -36 + -42 = -78 13v = -78 Divide each side by '13'. v = -6 Simplifying v = -6
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