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Simplifying -6v + -40 = 7(-1v + -5) + -2 Reorder the terms: -40 + -6v = 7(-1v + -5) + -2 Reorder the terms: -40 + -6v = 7(-5 + -1v) + -2 -40 + -6v = (-5 * 7 + -1v * 7) + -2 -40 + -6v = (-35 + -7v) + -2 Reorder the terms: -40 + -6v = -35 + -2 + -7v Combine like terms: -35 + -2 = -37 -40 + -6v = -37 + -7v Solving -40 + -6v = -37 + -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. -40 + -6v + 7v = -37 + -7v + 7v Combine like terms: -6v + 7v = 1v -40 + 1v = -37 + -7v + 7v Combine like terms: -7v + 7v = 0 -40 + 1v = -37 + 0 -40 + 1v = -37 Add '40' to each side of the equation. -40 + 40 + 1v = -37 + 40 Combine like terms: -40 + 40 = 0 0 + 1v = -37 + 40 1v = -37 + 40 Combine like terms: -37 + 40 = 3 1v = 3 Divide each side by '1'. v = 3 Simplifying v = 3
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