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Simplifying 10v + 7 = 8(2u + -4) + -9 Reorder the terms: 7 + 10v = 8(2u + -4) + -9 Reorder the terms: 7 + 10v = 8(-4 + 2u) + -9 7 + 10v = (-4 * 8 + 2u * 8) + -9 7 + 10v = (-32 + 16u) + -9 Reorder the terms: 7 + 10v = -32 + -9 + 16u Combine like terms: -32 + -9 = -41 7 + 10v = -41 + 16u Solving 7 + 10v = -41 + 16u Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 10v = -41 + -7 + 16u Combine like terms: 7 + -7 = 0 0 + 10v = -41 + -7 + 16u 10v = -41 + -7 + 16u Combine like terms: -41 + -7 = -48 10v = -48 + 16u Divide each side by '10'. v = -4.8 + 1.6u Simplifying v = -4.8 + 1.6u
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