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Simplifying -9(n + 4) + -1(1 + 8n) = -18n Reorder the terms: -9(4 + n) + -1(1 + 8n) = -18n (4 * -9 + n * -9) + -1(1 + 8n) = -18n (-36 + -9n) + -1(1 + 8n) = -18n -36 + -9n + (1 * -1 + 8n * -1) = -18n -36 + -9n + (-1 + -8n) = -18n Reorder the terms: -36 + -1 + -9n + -8n = -18n Combine like terms: -36 + -1 = -37 -37 + -9n + -8n = -18n Combine like terms: -9n + -8n = -17n -37 + -17n = -18n Solving -37 + -17n = -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -37 + -17n + 18n = -18n + 18n Combine like terms: -17n + 18n = 1n -37 + 1n = -18n + 18n Combine like terms: -18n + 18n = 0 -37 + 1n = 0 Add '37' to each side of the equation. -37 + 37 + 1n = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 1n = 0 + 37 1n = 0 + 37 Combine like terms: 0 + 37 = 37 1n = 37 Divide each side by '1'. n = 37 Simplifying n = 37
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