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Simplifying -2 + -7n = -8(7n + 7) + -5n Reorder the terms: -2 + -7n = -8(7 + 7n) + -5n -2 + -7n = (7 * -8 + 7n * -8) + -5n -2 + -7n = (-56 + -56n) + -5n Combine like terms: -56n + -5n = -61n -2 + -7n = -56 + -61n Solving -2 + -7n = -56 + -61n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '61n' to each side of the equation. -2 + -7n + 61n = -56 + -61n + 61n Combine like terms: -7n + 61n = 54n -2 + 54n = -56 + -61n + 61n Combine like terms: -61n + 61n = 0 -2 + 54n = -56 + 0 -2 + 54n = -56 Add '2' to each side of the equation. -2 + 2 + 54n = -56 + 2 Combine like terms: -2 + 2 = 0 0 + 54n = -56 + 2 54n = -56 + 2 Combine like terms: -56 + 2 = -54 54n = -54 Divide each side by '54'. n = -1 Simplifying n = -1
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