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Simplifying -5v + -28 = -7(v + 6) Reorder the terms: -28 + -5v = -7(v + 6) Reorder the terms: -28 + -5v = -7(6 + v) -28 + -5v = (6 * -7 + v * -7) -28 + -5v = (-42 + -7v) Solving -28 + -5v = -42 + -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. -28 + -5v + 7v = -42 + -7v + 7v Combine like terms: -5v + 7v = 2v -28 + 2v = -42 + -7v + 7v Combine like terms: -7v + 7v = 0 -28 + 2v = -42 + 0 -28 + 2v = -42 Add '28' to each side of the equation. -28 + 28 + 2v = -42 + 28 Combine like terms: -28 + 28 = 0 0 + 2v = -42 + 28 2v = -42 + 28 Combine like terms: -42 + 28 = -14 2v = -14 Divide each side by '2'. v = -7 Simplifying v = -7
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