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Simplifying -7(v + 6) = -5v + -28 Reorder the terms: -7(6 + v) = -5v + -28 (6 * -7 + v * -7) = -5v + -28 (-42 + -7v) = -5v + -28 Reorder the terms: -42 + -7v = -28 + -5v Solving -42 + -7v = -28 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -42 + -7v + 5v = -28 + -5v + 5v Combine like terms: -7v + 5v = -2v -42 + -2v = -28 + -5v + 5v Combine like terms: -5v + 5v = 0 -42 + -2v = -28 + 0 -42 + -2v = -28 Add '42' to each side of the equation. -42 + 42 + -2v = -28 + 42 Combine like terms: -42 + 42 = 0 0 + -2v = -28 + 42 -2v = -28 + 42 Combine like terms: -28 + 42 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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