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Simplifying -7v + -23 = 4(v + -3) Reorder the terms: -23 + -7v = 4(v + -3) Reorder the terms: -23 + -7v = 4(-3 + v) -23 + -7v = (-3 * 4 + v * 4) -23 + -7v = (-12 + 4v) Solving -23 + -7v = -12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -23 + -7v + -4v = -12 + 4v + -4v Combine like terms: -7v + -4v = -11v -23 + -11v = -12 + 4v + -4v Combine like terms: 4v + -4v = 0 -23 + -11v = -12 + 0 -23 + -11v = -12 Add '23' to each side of the equation. -23 + 23 + -11v = -12 + 23 Combine like terms: -23 + 23 = 0 0 + -11v = -12 + 23 -11v = -12 + 23 Combine like terms: -12 + 23 = 11 -11v = 11 Divide each side by '-11'. v = -1 Simplifying v = -1
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