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Simplifying -40 + 6v = 7(v + -5) + -3 Reorder the terms: -40 + 6v = 7(-5 + v) + -3 -40 + 6v = (-5 * 7 + v * 7) + -3 -40 + 6v = (-35 + 7v) + -3 Reorder the terms: -40 + 6v = -35 + -3 + 7v Combine like terms: -35 + -3 = -38 -40 + 6v = -38 + 7v Solving -40 + 6v = -38 + 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 = -38 + 7v + -7v Combine like terms: 6v + -7v = -1v -40 + -1v = -38 + 7v + -7v Combine like terms: 7v + -7v = 0 -40 + -1v = -38 + 0 -40 + -1v = -38 Add '40' to each side of the equation. -40 + 40 + -1v = -38 + 40 Combine like terms: -40 + 40 = 0 0 + -1v = -38 + 40 -1v = -38 + 40 Combine like terms: -38 + 40 = 2 -1v = 2 Divide each side by '-1'. v = -2 Simplifying v = -2
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