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Simplifying 4(1 + -5v) + -6 = 118 (1 * 4 + -5v * 4) + -6 = 118 (4 + -20v) + -6 = 118 Reorder the terms: 4 + -6 + -20v = 118 Combine like terms: 4 + -6 = -2 -2 + -20v = 118 Solving -2 + -20v = 118 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -20v = 118 + 2 Combine like terms: -2 + 2 = 0 0 + -20v = 118 + 2 -20v = 118 + 2 Combine like terms: 118 + 2 = 120 -20v = 120 Divide each side by '-20'. v = -6 Simplifying v = -6
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