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Simplifying -7(7 + 7n) + -1 = 40 + -4n (7 * -7 + 7n * -7) + -1 = 40 + -4n (-49 + -49n) + -1 = 40 + -4n Reorder the terms: -49 + -1 + -49n = 40 + -4n Combine like terms: -49 + -1 = -50 -50 + -49n = 40 + -4n Solving -50 + -49n = 40 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -50 + -49n + 4n = 40 + -4n + 4n Combine like terms: -49n + 4n = -45n -50 + -45n = 40 + -4n + 4n Combine like terms: -4n + 4n = 0 -50 + -45n = 40 + 0 -50 + -45n = 40 Add '50' to each side of the equation. -50 + 50 + -45n = 40 + 50 Combine like terms: -50 + 50 = 0 0 + -45n = 40 + 50 -45n = 40 + 50 Combine like terms: 40 + 50 = 90 -45n = 90 Divide each side by '-45'. n = -2 Simplifying n = -2
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