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Simplifying 10v + 7 = 8(2v + -4) + -4 Reorder the terms: 7 + 10v = 8(2v + -4) + -4 Reorder the terms: 7 + 10v = 8(-4 + 2v) + -4 7 + 10v = (-4 * 8 + 2v * 8) + -4 7 + 10v = (-32 + 16v) + -4 Reorder the terms: 7 + 10v = -32 + -4 + 16v Combine like terms: -32 + -4 = -36 7 + 10v = -36 + 16v Solving 7 + 10v = -36 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 7 + 10v + -16v = -36 + 16v + -16v Combine like terms: 10v + -16v = -6v 7 + -6v = -36 + 16v + -16v Combine like terms: 16v + -16v = 0 7 + -6v = -36 + 0 7 + -6v = -36 Add '-7' to each side of the equation. 7 + -7 + -6v = -36 + -7 Combine like terms: 7 + -7 = 0 0 + -6v = -36 + -7 -6v = -36 + -7 Combine like terms: -36 + -7 = -43 -6v = -43 Divide each side by '-6'. v = 7.166666667 Simplifying v = 7.166666667
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