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Simplifying 6(2n + 5) = 6(8n + 3) + 3 Reorder the terms: 6(5 + 2n) = 6(8n + 3) + 3 (5 * 6 + 2n * 6) = 6(8n + 3) + 3 (30 + 12n) = 6(8n + 3) + 3 Reorder the terms: 30 + 12n = 6(3 + 8n) + 3 30 + 12n = (3 * 6 + 8n * 6) + 3 30 + 12n = (18 + 48n) + 3 Reorder the terms: 30 + 12n = 18 + 3 + 48n Combine like terms: 18 + 3 = 21 30 + 12n = 21 + 48n Solving 30 + 12n = 21 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 30 + 12n + -48n = 21 + 48n + -48n Combine like terms: 12n + -48n = -36n 30 + -36n = 21 + 48n + -48n Combine like terms: 48n + -48n = 0 30 + -36n = 21 + 0 30 + -36n = 21 Add '-30' to each side of the equation. 30 + -30 + -36n = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -36n = 21 + -30 -36n = 21 + -30 Combine like terms: 21 + -30 = -9 -36n = -9 Divide each side by '-36'. n = 0.25 Simplifying n = 0.25
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