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Simplifying -73 = -3(6n + -7) + 4(1 + 8n) Reorder the terms: -73 = -3(-7 + 6n) + 4(1 + 8n) -73 = (-7 * -3 + 6n * -3) + 4(1 + 8n) -73 = (21 + -18n) + 4(1 + 8n) -73 = 21 + -18n + (1 * 4 + 8n * 4) -73 = 21 + -18n + (4 + 32n) Reorder the terms: -73 = 21 + 4 + -18n + 32n Combine like terms: 21 + 4 = 25 -73 = 25 + -18n + 32n Combine like terms: -18n + 32n = 14n -73 = 25 + 14n Solving -73 = 25 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -73 + -14n = 25 + 14n + -14n Combine like terms: 14n + -14n = 0 -73 + -14n = 25 + 0 -73 + -14n = 25 Add '73' to each side of the equation. -73 + 73 + -14n = 25 + 73 Combine like terms: -73 + 73 = 0 0 + -14n = 25 + 73 -14n = 25 + 73 Combine like terms: 25 + 73 = 98 -14n = 98 Divide each side by '-14'. n = -7 Simplifying n = -7
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