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Simplifying 58 = -2(7 + -7v) + -4(1 + -6v) 58 = (7 * -2 + -7v * -2) + -4(1 + -6v) 58 = (-14 + 14v) + -4(1 + -6v) 58 = -14 + 14v + (1 * -4 + -6v * -4) 58 = -14 + 14v + (-4 + 24v) Reorder the terms: 58 = -14 + -4 + 14v + 24v Combine like terms: -14 + -4 = -18 58 = -18 + 14v + 24v Combine like terms: 14v + 24v = 38v 58 = -18 + 38v Solving 58 = -18 + 38v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-38v' to each side of the equation. 58 + -38v = -18 + 38v + -38v Combine like terms: 38v + -38v = 0 58 + -38v = -18 + 0 58 + -38v = -18 Add '-58' to each side of the equation. 58 + -58 + -38v = -18 + -58 Combine like terms: 58 + -58 = 0 0 + -38v = -18 + -58 -38v = -18 + -58 Combine like terms: -18 + -58 = -76 -38v = -76 Divide each side by '-38'. v = 2 Simplifying v = 2
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