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Simplifying -116 = -1v + -6(-4v + 4) Reorder the terms: -116 = -1v + -6(4 + -4v) -116 = -1v + (4 * -6 + -4v * -6) -116 = -1v + (-24 + 24v) Reorder the terms: -116 = -24 + -1v + 24v Combine like terms: -1v + 24v = 23v -116 = -24 + 23v Solving -116 = -24 + 23v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-23v' to each side of the equation. -116 + -23v = -24 + 23v + -23v Combine like terms: 23v + -23v = 0 -116 + -23v = -24 + 0 -116 + -23v = -24 Add '116' to each side of the equation. -116 + 116 + -23v = -24 + 116 Combine like terms: -116 + 116 = 0 0 + -23v = -24 + 116 -23v = -24 + 116 Combine like terms: -24 + 116 = 92 -23v = 92 Divide each side by '-23'. v = -4 Simplifying v = -4
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