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Simplifying 176 = 7(-5 + 7v) + -6 176 = (-5 * 7 + 7v * 7) + -6 176 = (-35 + 49v) + -6 Reorder the terms: 176 = -35 + -6 + 49v Combine like terms: -35 + -6 = -41 176 = -41 + 49v Solving 176 = -41 + 49v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-49v' to each side of the equation. 176 + -49v = -41 + 49v + -49v Combine like terms: 49v + -49v = 0 176 + -49v = -41 + 0 176 + -49v = -41 Add '-176' to each side of the equation. 176 + -176 + -49v = -41 + -176 Combine like terms: 176 + -176 = 0 0 + -49v = -41 + -176 -49v = -41 + -176 Combine like terms: -41 + -176 = -217 -49v = -217 Divide each side by '-49'. v = 4.428571429 Simplifying v = 4.428571429
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