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Simplifying 4v + 10 = 6(v + 4) Reorder the terms: 10 + 4v = 6(v + 4) Reorder the terms: 10 + 4v = 6(4 + v) 10 + 4v = (4 * 6 + v * 6) 10 + 4v = (24 + 6v) Solving 10 + 4v = 24 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 10 + 4v + -6v = 24 + 6v + -6v Combine like terms: 4v + -6v = -2v 10 + -2v = 24 + 6v + -6v Combine like terms: 6v + -6v = 0 10 + -2v = 24 + 0 10 + -2v = 24 Add '-10' to each side of the equation. 10 + -10 + -2v = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -2v = 24 + -10 -2v = 24 + -10 Combine like terms: 24 + -10 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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