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Simplifying 7 + 7v = -3 + -5(6v + -2) Reorder the terms: 7 + 7v = -3 + -5(-2 + 6v) 7 + 7v = -3 + (-2 * -5 + 6v * -5) 7 + 7v = -3 + (10 + -30v) Combine like terms: -3 + 10 = 7 7 + 7v = 7 + -30v Add '-7' to each side of the equation. 7 + -7 + 7v = 7 + -7 + -30v Combine like terms: 7 + -7 = 0 0 + 7v = 7 + -7 + -30v 7v = 7 + -7 + -30v Combine like terms: 7 + -7 = 0 7v = 0 + -30v 7v = -30v Solving 7v = -30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30v' to each side of the equation. 7v + 30v = -30v + 30v Combine like terms: 7v + 30v = 37v 37v = -30v + 30v Combine like terms: -30v + 30v = 0 37v = 0 Divide each side by '37'. v = 0 Simplifying v = 0
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