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Simplifying 6(7 + 5v) + -3v = 96 (7 * 6 + 5v * 6) + -3v = 96 (42 + 30v) + -3v = 96 Combine like terms: 30v + -3v = 27v 42 + 27v = 96 Solving 42 + 27v = 96 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 27v = 96 + -42 Combine like terms: 42 + -42 = 0 0 + 27v = 96 + -42 27v = 96 + -42 Combine like terms: 96 + -42 = 54 27v = 54 Divide each side by '27'. v = 2 Simplifying v = 2
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