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Simplifying 9(12n + -6) = 15(7n) Reorder the terms: 9(-6 + 12n) = 15(7n) (-6 * 9 + 12n * 9) = 15(7n) (-54 + 108n) = 15(7n) Remove parenthesis around (7n) -54 + 108n = 15 * 7n Multiply 15 * 7 -54 + 108n = 105n Solving -54 + 108n = 105n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-105n' to each side of the equation. -54 + 108n + -105n = 105n + -105n Combine like terms: 108n + -105n = 3n -54 + 3n = 105n + -105n Combine like terms: 105n + -105n = 0 -54 + 3n = 0 Add '54' to each side of the equation. -54 + 54 + 3n = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 3n = 0 + 54 3n = 0 + 54 Combine like terms: 0 + 54 = 54 3n = 54 Divide each side by '3'. n = 18 Simplifying n = 18
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