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Simplifying 45 = 2(4n + -7) + -7(3n + -1) Reorder the terms: 45 = 2(-7 + 4n) + -7(3n + -1) 45 = (-7 * 2 + 4n * 2) + -7(3n + -1) 45 = (-14 + 8n) + -7(3n + -1) Reorder the terms: 45 = -14 + 8n + -7(-1 + 3n) 45 = -14 + 8n + (-1 * -7 + 3n * -7) 45 = -14 + 8n + (7 + -21n) Reorder the terms: 45 = -14 + 7 + 8n + -21n Combine like terms: -14 + 7 = -7 45 = -7 + 8n + -21n Combine like terms: 8n + -21n = -13n 45 = -7 + -13n Solving 45 = -7 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 45 + 13n = -7 + -13n + 13n Combine like terms: -13n + 13n = 0 45 + 13n = -7 + 0 45 + 13n = -7 Add '-45' to each side of the equation. 45 + -45 + 13n = -7 + -45 Combine like terms: 45 + -45 = 0 0 + 13n = -7 + -45 13n = -7 + -45 Combine like terms: -7 + -45 = -52 13n = -52 Divide each side by '13'. n = -4 Simplifying n = -4
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