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Simplifying -6v + -3 = 7(v + 7) Reorder the terms: -3 + -6v = 7(v + 7) Reorder the terms: -3 + -6v = 7(7 + v) -3 + -6v = (7 * 7 + v * 7) -3 + -6v = (49 + 7v) Solving -3 + -6v = 49 + 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. -3 + -6v + -7v = 49 + 7v + -7v Combine like terms: -6v + -7v = -13v -3 + -13v = 49 + 7v + -7v Combine like terms: 7v + -7v = 0 -3 + -13v = 49 + 0 -3 + -13v = 49 Add '3' to each side of the equation. -3 + 3 + -13v = 49 + 3 Combine like terms: -3 + 3 = 0 0 + -13v = 49 + 3 -13v = 49 + 3 Combine like terms: 49 + 3 = 52 -13v = 52 Divide each side by '-13'. v = -4 Simplifying v = -4
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