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Simplifying 7(n + 7) + -1(4 + 9n) = -3n Reorder the terms: 7(7 + n) + -1(4 + 9n) = -3n (7 * 7 + n * 7) + -1(4 + 9n) = -3n (49 + 7n) + -1(4 + 9n) = -3n 49 + 7n + (4 * -1 + 9n * -1) = -3n 49 + 7n + (-4 + -9n) = -3n Reorder the terms: 49 + -4 + 7n + -9n = -3n Combine like terms: 49 + -4 = 45 45 + 7n + -9n = -3n Combine like terms: 7n + -9n = -2n 45 + -2n = -3n Solving 45 + -2n = -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 45 + -2n + 3n = -3n + 3n Combine like terms: -2n + 3n = 1n 45 + 1n = -3n + 3n Combine like terms: -3n + 3n = 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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