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Simplifying 5(v + 1) = 2(1 + -3w) + -8 Reorder the terms: 5(1 + v) = 2(1 + -3w) + -8 (1 * 5 + v * 5) = 2(1 + -3w) + -8 (5 + 5v) = 2(1 + -3w) + -8 5 + 5v = (1 * 2 + -3w * 2) + -8 5 + 5v = (2 + -6w) + -8 Reorder the terms: 5 + 5v = 2 + -8 + -6w Combine like terms: 2 + -8 = -6 5 + 5v = -6 + -6w Solving 5 + 5v = -6 + -6w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5v = -6 + -5 + -6w Combine like terms: 5 + -5 = 0 0 + 5v = -6 + -5 + -6w 5v = -6 + -5 + -6w Combine like terms: -6 + -5 = -11 5v = -11 + -6w Divide each side by '5'. v = -2.2 + -1.2w Simplifying v = -2.2 + -1.2w
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