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Simplifying 10(v + 1) + -20 = 4(20 + 1) + -6 Reorder the terms: 10(1 + v) + -20 = 4(20 + 1) + -6 (1 * 10 + v * 10) + -20 = 4(20 + 1) + -6 (10 + 10v) + -20 = 4(20 + 1) + -6 Reorder the terms: 10 + -20 + 10v = 4(20 + 1) + -6 Combine like terms: 10 + -20 = -10 -10 + 10v = 4(20 + 1) + -6 Combine like terms: 20 + 1 = 21 -10 + 10v = 4(21) + -6 Multiply 4 * 21 -10 + 10v = 84 + -6 Combine like terms: 84 + -6 = 78 -10 + 10v = 78 Solving -10 + 10v = 78 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10v = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 10v = 78 + 10 10v = 78 + 10 Combine like terms: 78 + 10 = 88 10v = 88 Divide each side by '10'. v = 8.8 Simplifying v = 8.8
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