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Simplifying -5[v + 9] = 7v + -21 Reorder the terms: -5[9 + v] = 7v + -21 [9 * -5 + v * -5] = 7v + -21 [-45 + -5v] = 7v + -21 Reorder the terms: -45 + -5v = -21 + 7v Solving -45 + -5v = -21 + 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. -45 + -5v + -7v = -21 + 7v + -7v Combine like terms: -5v + -7v = -12v -45 + -12v = -21 + 7v + -7v Combine like terms: 7v + -7v = 0 -45 + -12v = -21 + 0 -45 + -12v = -21 Add '45' to each side of the equation. -45 + 45 + -12v = -21 + 45 Combine like terms: -45 + 45 = 0 0 + -12v = -21 + 45 -12v = -21 + 45 Combine like terms: -21 + 45 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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