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Simplifying 11(n + -12) = 5n + 7(3n + 9) Reorder the terms: 11(-12 + n) = 5n + 7(3n + 9) (-12 * 11 + n * 11) = 5n + 7(3n + 9) (-132 + 11n) = 5n + 7(3n + 9) Reorder the terms: -132 + 11n = 5n + 7(9 + 3n) -132 + 11n = 5n + (9 * 7 + 3n * 7) -132 + 11n = 5n + (63 + 21n) Reorder the terms: -132 + 11n = 63 + 5n + 21n Combine like terms: 5n + 21n = 26n -132 + 11n = 63 + 26n Solving -132 + 11n = 63 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. -132 + 11n + -26n = 63 + 26n + -26n Combine like terms: 11n + -26n = -15n -132 + -15n = 63 + 26n + -26n Combine like terms: 26n + -26n = 0 -132 + -15n = 63 + 0 -132 + -15n = 63 Add '132' to each side of the equation. -132 + 132 + -15n = 63 + 132 Combine like terms: -132 + 132 = 0 0 + -15n = 63 + 132 -15n = 63 + 132 Combine like terms: 63 + 132 = 195 -15n = 195 Divide each side by '-15'. n = -13 Simplifying n = -13
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