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Simplifying 24 + -10(2n + 3) = 4(6n + 3) + -17n Reorder the terms: 24 + -10(3 + 2n) = 4(6n + 3) + -17n 24 + (3 * -10 + 2n * -10) = 4(6n + 3) + -17n 24 + (-30 + -20n) = 4(6n + 3) + -17n Combine like terms: 24 + -30 = -6 -6 + -20n = 4(6n + 3) + -17n Reorder the terms: -6 + -20n = 4(3 + 6n) + -17n -6 + -20n = (3 * 4 + 6n * 4) + -17n -6 + -20n = (12 + 24n) + -17n Combine like terms: 24n + -17n = 7n -6 + -20n = 12 + 7n Solving -6 + -20n = 12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -6 + -20n + -7n = 12 + 7n + -7n Combine like terms: -20n + -7n = -27n -6 + -27n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -6 + -27n = 12 + 0 -6 + -27n = 12 Add '6' to each side of the equation. -6 + 6 + -27n = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -27n = 12 + 6 -27n = 12 + 6 Combine like terms: 12 + 6 = 18 -27n = 18 Divide each side by '-27'. n = -0.6666666667 Simplifying n = -0.6666666667
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