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Simplifying -7(1 + 7v) = 35 + -7v (1 * -7 + 7v * -7) = 35 + -7v (-7 + -49v) = 35 + -7v Solving -7 + -49v = 35 + -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. -7 + -49v + 7v = 35 + -7v + 7v Combine like terms: -49v + 7v = -42v -7 + -42v = 35 + -7v + 7v Combine like terms: -7v + 7v = 0 -7 + -42v = 35 + 0 -7 + -42v = 35 Add '7' to each side of the equation. -7 + 7 + -42v = 35 + 7 Combine like terms: -7 + 7 = 0 0 + -42v = 35 + 7 -42v = 35 + 7 Combine like terms: 35 + 7 = 42 -42v = 42 Divide each side by '-42'. v = -1 Simplifying v = -1
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