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Simplifying 23 + -9(2n + 5) = 5(7n + 1) + -8n Reorder the terms: 23 + -9(5 + 2n) = 5(7n + 1) + -8n 23 + (5 * -9 + 2n * -9) = 5(7n + 1) + -8n 23 + (-45 + -18n) = 5(7n + 1) + -8n Combine like terms: 23 + -45 = -22 -22 + -18n = 5(7n + 1) + -8n Reorder the terms: -22 + -18n = 5(1 + 7n) + -8n -22 + -18n = (1 * 5 + 7n * 5) + -8n -22 + -18n = (5 + 35n) + -8n Combine like terms: 35n + -8n = 27n -22 + -18n = 5 + 27n Solving -22 + -18n = 5 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -22 + -18n + -27n = 5 + 27n + -27n Combine like terms: -18n + -27n = -45n -22 + -45n = 5 + 27n + -27n Combine like terms: 27n + -27n = 0 -22 + -45n = 5 + 0 -22 + -45n = 5 Add '22' to each side of the equation. -22 + 22 + -45n = 5 + 22 Combine like terms: -22 + 22 = 0 0 + -45n = 5 + 22 -45n = 5 + 22 Combine like terms: 5 + 22 = 27 -45n = 27 Divide each side by '-45'. n = -0.6 Simplifying n = -0.6
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