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Simplifying -5(v + 6) = -4(v + 9) + -7 Reorder the terms: -5(6 + v) = -4(v + 9) + -7 (6 * -5 + v * -5) = -4(v + 9) + -7 (-30 + -5v) = -4(v + 9) + -7 Reorder the terms: -30 + -5v = -4(9 + v) + -7 -30 + -5v = (9 * -4 + v * -4) + -7 -30 + -5v = (-36 + -4v) + -7 Reorder the terms: -30 + -5v = -36 + -7 + -4v Combine like terms: -36 + -7 = -43 -30 + -5v = -43 + -4v Solving -30 + -5v = -43 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -30 + -5v + 4v = -43 + -4v + 4v Combine like terms: -5v + 4v = -1v -30 + -1v = -43 + -4v + 4v Combine like terms: -4v + 4v = 0 -30 + -1v = -43 + 0 -30 + -1v = -43 Add '30' to each side of the equation. -30 + 30 + -1v = -43 + 30 Combine like terms: -30 + 30 = 0 0 + -1v = -43 + 30 -1v = -43 + 30 Combine like terms: -43 + 30 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13
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