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Simplifying -5v + 4(-1v + 9) + -7(7 + 3v) = -7 Reorder the terms: -5v + 4(9 + -1v) + -7(7 + 3v) = -7 -5v + (9 * 4 + -1v * 4) + -7(7 + 3v) = -7 -5v + (36 + -4v) + -7(7 + 3v) = -7 -5v + 36 + -4v + (7 * -7 + 3v * -7) = -7 -5v + 36 + -4v + (-49 + -21v) = -7 Reorder the terms: 36 + -49 + -5v + -4v + -21v = -7 Combine like terms: 36 + -49 = -13 -13 + -5v + -4v + -21v = -7 Combine like terms: -5v + -4v = -9v -13 + -9v + -21v = -7 Combine like terms: -9v + -21v = -30v -13 + -30v = -7 Solving -13 + -30v = -7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -30v = -7 + 13 Combine like terms: -13 + 13 = 0 0 + -30v = -7 + 13 -30v = -7 + 13 Combine like terms: -7 + 13 = 6 -30v = 6 Divide each side by '-30'. v = -0.2 Simplifying v = -0.2
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