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Simplifying 7(n + 7) + -1(4 + -7n) = 13n Reorder the terms: 7(7 + n) + -1(4 + -7n) = 13n (7 * 7 + n * 7) + -1(4 + -7n) = 13n (49 + 7n) + -1(4 + -7n) = 13n 49 + 7n + (4 * -1 + -7n * -1) = 13n 49 + 7n + (-4 + 7n) = 13n Reorder the terms: 49 + -4 + 7n + 7n = 13n Combine like terms: 49 + -4 = 45 45 + 7n + 7n = 13n Combine like terms: 7n + 7n = 14n 45 + 14n = 13n Solving 45 + 14n = 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 + 14n + -13n = 13n + -13n Combine like terms: 14n + -13n = 1n 45 + 1n = 13n + -13n Combine like terms: 13n + -13n = 0 45 + 1n = 0 Add '-45' to each side of the equation. 45 + -45 + 1n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 1n = 0 + -45 1n = 0 + -45 Combine like terms: 0 + -45 = -45 1n = -45 Divide each side by '1'. n = -45 Simplifying n = -45
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