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Simplifying 6(3n + 3) = 9(7n + 7) + 3 Reorder the terms: 6(3 + 3n) = 9(7n + 7) + 3 (3 * 6 + 3n * 6) = 9(7n + 7) + 3 (18 + 18n) = 9(7n + 7) + 3 Reorder the terms: 18 + 18n = 9(7 + 7n) + 3 18 + 18n = (7 * 9 + 7n * 9) + 3 18 + 18n = (63 + 63n) + 3 Reorder the terms: 18 + 18n = 63 + 3 + 63n Combine like terms: 63 + 3 = 66 18 + 18n = 66 + 63n Solving 18 + 18n = 66 + 63n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-63n' to each side of the equation. 18 + 18n + -63n = 66 + 63n + -63n Combine like terms: 18n + -63n = -45n 18 + -45n = 66 + 63n + -63n Combine like terms: 63n + -63n = 0 18 + -45n = 66 + 0 18 + -45n = 66 Add '-18' to each side of the equation. 18 + -18 + -45n = 66 + -18 Combine like terms: 18 + -18 = 0 0 + -45n = 66 + -18 -45n = 66 + -18 Combine like terms: 66 + -18 = 48 -45n = 48 Divide each side by '-45'. n = -1.066666667 Simplifying n = -1.066666667
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