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Simplifying -2v + -48 = -7(v + 9) Reorder the terms: -48 + -2v = -7(v + 9) Reorder the terms: -48 + -2v = -7(9 + v) -48 + -2v = (9 * -7 + v * -7) -48 + -2v = (-63 + -7v) Solving -48 + -2v = -63 + -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. -48 + -2v + 7v = -63 + -7v + 7v Combine like terms: -2v + 7v = 5v -48 + 5v = -63 + -7v + 7v Combine like terms: -7v + 7v = 0 -48 + 5v = -63 + 0 -48 + 5v = -63 Add '48' to each side of the equation. -48 + 48 + 5v = -63 + 48 Combine like terms: -48 + 48 = 0 0 + 5v = -63 + 48 5v = -63 + 48 Combine like terms: -63 + 48 = -15 5v = -15 Divide each side by '5'. v = -3 Simplifying v = -3
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