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Simplifying -4v + -36 = 7(v + -2) Reorder the terms: -36 + -4v = 7(v + -2) Reorder the terms: -36 + -4v = 7(-2 + v) -36 + -4v = (-2 * 7 + v * 7) -36 + -4v = (-14 + 7v) Solving -36 + -4v = -14 + 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. -36 + -4v + -7v = -14 + 7v + -7v Combine like terms: -4v + -7v = -11v -36 + -11v = -14 + 7v + -7v Combine like terms: 7v + -7v = 0 -36 + -11v = -14 + 0 -36 + -11v = -14 Add '36' to each side of the equation. -36 + 36 + -11v = -14 + 36 Combine like terms: -36 + 36 = 0 0 + -11v = -14 + 36 -11v = -14 + 36 Combine like terms: -14 + 36 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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