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Simplifying 6(6v + -16) + -5 = 1 + 6v Reorder the terms: 6(-16 + 6v) + -5 = 1 + 6v (-16 * 6 + 6v * 6) + -5 = 1 + 6v (-96 + 36v) + -5 = 1 + 6v Reorder the terms: -96 + -5 + 36v = 1 + 6v Combine like terms: -96 + -5 = -101 -101 + 36v = 1 + 6v Solving -101 + 36v = 1 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -101 + 36v + -6v = 1 + 6v + -6v Combine like terms: 36v + -6v = 30v -101 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 -101 + 30v = 1 + 0 -101 + 30v = 1 Add '101' to each side of the equation. -101 + 101 + 30v = 1 + 101 Combine like terms: -101 + 101 = 0 0 + 30v = 1 + 101 30v = 1 + 101 Combine like terms: 1 + 101 = 102 30v = 102 Divide each side by '30'. v = 3.4 Simplifying v = 3.4
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