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Simplifying 45 + -11(2n + 5) = 4(7n + 3) + -17n Reorder the terms: 45 + -11(5 + 2n) = 4(7n + 3) + -17n 45 + (5 * -11 + 2n * -11) = 4(7n + 3) + -17n 45 + (-55 + -22n) = 4(7n + 3) + -17n Combine like terms: 45 + -55 = -10 -10 + -22n = 4(7n + 3) + -17n Reorder the terms: -10 + -22n = 4(3 + 7n) + -17n -10 + -22n = (3 * 4 + 7n * 4) + -17n -10 + -22n = (12 + 28n) + -17n Combine like terms: 28n + -17n = 11n -10 + -22n = 12 + 11n Solving -10 + -22n = 12 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. -10 + -22n + -11n = 12 + 11n + -11n Combine like terms: -22n + -11n = -33n -10 + -33n = 12 + 11n + -11n Combine like terms: 11n + -11n = 0 -10 + -33n = 12 + 0 -10 + -33n = 12 Add '10' to each side of the equation. -10 + 10 + -33n = 12 + 10 Combine like terms: -10 + 10 = 0 0 + -33n = 12 + 10 -33n = 12 + 10 Combine like terms: 12 + 10 = 22 -33n = 22 Divide each side by '-33'. n = -0.6666666667 Simplifying n = -0.6666666667
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