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Simplifying -106 = -4(1 + -5v) + -2 -106 = (1 * -4 + -5v * -4) + -2 -106 = (-4 + 20v) + -2 Reorder the terms: -106 = -4 + -2 + 20v Combine like terms: -4 + -2 = -6 -106 = -6 + 20v Solving -106 = -6 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -106 + -20v = -6 + 20v + -20v Combine like terms: 20v + -20v = 0 -106 + -20v = -6 + 0 -106 + -20v = -6 Add '106' to each side of the equation. -106 + 106 + -20v = -6 + 106 Combine like terms: -106 + 106 = 0 0 + -20v = -6 + 106 -20v = -6 + 106 Combine like terms: -6 + 106 = 100 -20v = 100 Divide each side by '-20'. v = -5 Simplifying v = -5
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