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Simplifying 6(1 + 4v) + -1(-1 + -5w) = 0 (1 * 6 + 4v * 6) + -1(-1 + -5w) = 0 (6 + 24v) + -1(-1 + -5w) = 0 6 + 24v + (-1 * -1 + -5w * -1) = 0 6 + 24v + (1 + 5w) = 0 Reorder the terms: 6 + 1 + 24v + 5w = 0 Combine like terms: 6 + 1 = 7 7 + 24v + 5w = 0 Solving 7 + 24v + 5w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 24v + -7 + 5w = 0 + -7 Reorder the terms: 7 + -7 + 24v + 5w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 24v + 5w = 0 + -7 24v + 5w = 0 + -7 Combine like terms: 0 + -7 = -7 24v + 5w = -7 Add '-5w' to each side of the equation. 24v + 5w + -5w = -7 + -5w Combine like terms: 5w + -5w = 0 24v + 0 = -7 + -5w 24v = -7 + -5w Divide each side by '24'. v = -0.2916666667 + -0.2083333333w Simplifying v = -0.2916666667 + -0.2083333333w
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