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Simplifying 6 = 10(v + 4) + 6 Reorder the terms: 6 = 10(4 + v) + 6 6 = (4 * 10 + v * 10) + 6 6 = (40 + 10v) + 6 Reorder the terms: 6 = 40 + 6 + 10v Combine like terms: 40 + 6 = 46 6 = 46 + 10v Solving 6 = 46 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 6 + -10v = 46 + 10v + -10v Combine like terms: 10v + -10v = 0 6 + -10v = 46 + 0 6 + -10v = 46 Add '-6' to each side of the equation. 6 + -6 + -10v = 46 + -6 Combine like terms: 6 + -6 = 0 0 + -10v = 46 + -6 -10v = 46 + -6 Combine like terms: 46 + -6 = 40 -10v = 40 Divide each side by '-10'. v = -4 Simplifying v = -4
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