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Simplifying 7(3n + 3) = 8(6n + 6) + 4 Reorder the terms: 7(3 + 3n) = 8(6n + 6) + 4 (3 * 7 + 3n * 7) = 8(6n + 6) + 4 (21 + 21n) = 8(6n + 6) + 4 Reorder the terms: 21 + 21n = 8(6 + 6n) + 4 21 + 21n = (6 * 8 + 6n * 8) + 4 21 + 21n = (48 + 48n) + 4 Reorder the terms: 21 + 21n = 48 + 4 + 48n Combine like terms: 48 + 4 = 52 21 + 21n = 52 + 48n Solving 21 + 21n = 52 + 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. 21 + 21n + -48n = 52 + 48n + -48n Combine like terms: 21n + -48n = -27n 21 + -27n = 52 + 48n + -48n Combine like terms: 48n + -48n = 0 21 + -27n = 52 + 0 21 + -27n = 52 Add '-21' to each side of the equation. 21 + -21 + -27n = 52 + -21 Combine like terms: 21 + -21 = 0 0 + -27n = 52 + -21 -27n = 52 + -21 Combine like terms: 52 + -21 = 31 -27n = 31 Divide each side by '-27'. n = -1.148148148 Simplifying n = -1.148148148
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