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Simplifying 8 + -4(5v + -7) = v + -27 Reorder the terms: 8 + -4(-7 + 5v) = v + -27 8 + (-7 * -4 + 5v * -4) = v + -27 8 + (28 + -20v) = v + -27 Combine like terms: 8 + 28 = 36 36 + -20v = v + -27 Reorder the terms: 36 + -20v = -27 + v Solving 36 + -20v = -27 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 36 + -20v + -1v = -27 + v + -1v Combine like terms: -20v + -1v = -21v 36 + -21v = -27 + v + -1v Combine like terms: v + -1v = 0 36 + -21v = -27 + 0 36 + -21v = -27 Add '-36' to each side of the equation. 36 + -36 + -21v = -27 + -36 Combine like terms: 36 + -36 = 0 0 + -21v = -27 + -36 -21v = -27 + -36 Combine like terms: -27 + -36 = -63 -21v = -63 Divide each side by '-21'. v = 3 Simplifying v = 3
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