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Simplifying 5v + -7(5v + -6) = 222 Reorder the terms: 5v + -7(-6 + 5v) = 222 5v + (-6 * -7 + 5v * -7) = 222 5v + (42 + -35v) = 222 Reorder the terms: 42 + 5v + -35v = 222 Combine like terms: 5v + -35v = -30v 42 + -30v = 222 Solving 42 + -30v = 222 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 + -30v = 222 + -42 Combine like terms: 42 + -42 = 0 0 + -30v = 222 + -42 -30v = 222 + -42 Combine like terms: 222 + -42 = 180 -30v = 180 Divide each side by '-30'. v = -6 Simplifying v = -6
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