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Simplifying 54 = 6[4 + -7v] + 2 54 = [4 * 6 + -7v * 6] + 2 54 = [24 + -42v] + 2 Reorder the terms: 54 = 24 + 2 + -42v Combine like terms: 24 + 2 = 26 54 = 26 + -42v Solving 54 = 26 + -42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '42v' to each side of the equation. 54 + 42v = 26 + -42v + 42v Combine like terms: -42v + 42v = 0 54 + 42v = 26 + 0 54 + 42v = 26 Add '-54' to each side of the equation. 54 + -54 + 42v = 26 + -54 Combine like terms: 54 + -54 = 0 0 + 42v = 26 + -54 42v = 26 + -54 Combine like terms: 26 + -54 = -28 42v = -28 Divide each side by '42'. v = -0.6666666667 Simplifying v = -0.6666666667
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