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Simplifying 7(-7v + 1) = -2v + -40 Reorder the terms: 7(1 + -7v) = -2v + -40 (1 * 7 + -7v * 7) = -2v + -40 (7 + -49v) = -2v + -40 Reorder the terms: 7 + -49v = -40 + -2v Solving 7 + -49v = -40 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 7 + -49v + 2v = -40 + -2v + 2v Combine like terms: -49v + 2v = -47v 7 + -47v = -40 + -2v + 2v Combine like terms: -2v + 2v = 0 7 + -47v = -40 + 0 7 + -47v = -40 Add '-7' to each side of the equation. 7 + -7 + -47v = -40 + -7 Combine like terms: 7 + -7 = 0 0 + -47v = -40 + -7 -47v = -40 + -7 Combine like terms: -40 + -7 = -47 -47v = -47 Divide each side by '-47'. v = 1 Simplifying v = 1
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