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Simplifying -1 + -6v = 2 + 7(7 + v) -1 + -6v = 2 + (7 * 7 + v * 7) -1 + -6v = 2 + (49 + 7v) Combine like terms: 2 + 49 = 51 -1 + -6v = 51 + 7v Solving -1 + -6v = 51 + 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. -1 + -6v + -7v = 51 + 7v + -7v Combine like terms: -6v + -7v = -13v -1 + -13v = 51 + 7v + -7v Combine like terms: 7v + -7v = 0 -1 + -13v = 51 + 0 -1 + -13v = 51 Add '1' to each side of the equation. -1 + 1 + -13v = 51 + 1 Combine like terms: -1 + 1 = 0 0 + -13v = 51 + 1 -13v = 51 + 1 Combine like terms: 51 + 1 = 52 -13v = 52 Divide each side by '-13'. v = -4 Simplifying v = -4
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