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Simplifying 8(2n + -1) = 6(6n + 3) + 8 Reorder the terms: 8(-1 + 2n) = 6(6n + 3) + 8 (-1 * 8 + 2n * 8) = 6(6n + 3) + 8 (-8 + 16n) = 6(6n + 3) + 8 Reorder the terms: -8 + 16n = 6(3 + 6n) + 8 -8 + 16n = (3 * 6 + 6n * 6) + 8 -8 + 16n = (18 + 36n) + 8 Reorder the terms: -8 + 16n = 18 + 8 + 36n Combine like terms: 18 + 8 = 26 -8 + 16n = 26 + 36n Solving -8 + 16n = 26 + 36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-36n' to each side of the equation. -8 + 16n + -36n = 26 + 36n + -36n Combine like terms: 16n + -36n = -20n -8 + -20n = 26 + 36n + -36n Combine like terms: 36n + -36n = 0 -8 + -20n = 26 + 0 -8 + -20n = 26 Add '8' to each side of the equation. -8 + 8 + -20n = 26 + 8 Combine like terms: -8 + 8 = 0 0 + -20n = 26 + 8 -20n = 26 + 8 Combine like terms: 26 + 8 = 34 -20n = 34 Divide each side by '-20'. n = -1.7 Simplifying n = -1.7
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