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Simplifying -5v + -21 = 7(v + 9) Reorder the terms: -21 + -5v = 7(v + 9) Reorder the terms: -21 + -5v = 7(9 + v) -21 + -5v = (9 * 7 + v * 7) -21 + -5v = (63 + 7v) Solving -21 + -5v = 63 + 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. -21 + -5v + -7v = 63 + 7v + -7v Combine like terms: -5v + -7v = -12v -21 + -12v = 63 + 7v + -7v Combine like terms: 7v + -7v = 0 -21 + -12v = 63 + 0 -21 + -12v = 63 Add '21' to each side of the equation. -21 + 21 + -12v = 63 + 21 Combine like terms: -21 + 21 = 0 0 + -12v = 63 + 21 -12v = 63 + 21 Combine like terms: 63 + 21 = 84 -12v = 84 Divide each side by '-12'. v = -7 Simplifying v = -7
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