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Simplifying 5v + 10 = -4(v + -7) Reorder the terms: 10 + 5v = -4(v + -7) Reorder the terms: 10 + 5v = -4(-7 + v) 10 + 5v = (-7 * -4 + v * -4) 10 + 5v = (28 + -4v) Solving 10 + 5v = 28 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 10 + 5v + 4v = 28 + -4v + 4v Combine like terms: 5v + 4v = 9v 10 + 9v = 28 + -4v + 4v Combine like terms: -4v + 4v = 0 10 + 9v = 28 + 0 10 + 9v = 28 Add '-10' to each side of the equation. 10 + -10 + 9v = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 9v = 28 + -10 9v = 28 + -10 Combine like terms: 28 + -10 = 18 9v = 18 Divide each side by '9'. v = 2 Simplifying v = 2
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