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Simplifying 7 + -5(-5 + -6v) = -118 7 + (-5 * -5 + -6v * -5) = -118 7 + (25 + 30v) = -118 Combine like terms: 7 + 25 = 32 32 + 30v = -118 Solving 32 + 30v = -118 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 30v = -118 + -32 Combine like terms: 32 + -32 = 0 0 + 30v = -118 + -32 30v = -118 + -32 Combine like terms: -118 + -32 = -150 30v = -150 Divide each side by '30'. v = -5 Simplifying v = -5
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