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Simplifying -7v + 40 = -6(1 + 5v) Reorder the terms: 40 + -7v = -6(1 + 5v) 40 + -7v = (1 * -6 + 5v * -6) 40 + -7v = (-6 + -30v) Solving 40 + -7v = -6 + -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 40 + -7v + 30v = -6 + -30v + 30v Combine like terms: -7v + 30v = 23v 40 + 23v = -6 + -30v + 30v Combine like terms: -30v + 30v = 0 40 + 23v = -6 + 0 40 + 23v = -6 Add '-40' to each side of the equation. 40 + -40 + 23v = -6 + -40 Combine like terms: 40 + -40 = 0 0 + 23v = -6 + -40 23v = -6 + -40 Combine like terms: -6 + -40 = -46 23v = -46 Divide each side by '23'. v = -2 Simplifying v = -2
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