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Simplifying -23 = -4 + 7(v + -2) Reorder the terms: -23 = -4 + 7(-2 + v) -23 = -4 + (-2 * 7 + v * 7) -23 = -4 + (-14 + 7v) Combine like terms: -4 + -14 = -18 -23 = -18 + 7v Solving -23 = -18 + 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. -23 + -7v = -18 + 7v + -7v Combine like terms: 7v + -7v = 0 -23 + -7v = -18 + 0 -23 + -7v = -18 Add '23' to each side of the equation. -23 + 23 + -7v = -18 + 23 Combine like terms: -23 + 23 = 0 0 + -7v = -18 + 23 -7v = -18 + 23 Combine like terms: -18 + 23 = 5 -7v = 5 Divide each side by '-7'. v = -0.7142857143 Simplifying v = -0.7142857143
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