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Simplifying 5n + -13 = 8(7n + -8) Reorder the terms: -13 + 5n = 8(7n + -8) Reorder the terms: -13 + 5n = 8(-8 + 7n) -13 + 5n = (-8 * 8 + 7n * 8) -13 + 5n = (-64 + 56n) Solving -13 + 5n = -64 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -13 + 5n + -56n = -64 + 56n + -56n Combine like terms: 5n + -56n = -51n -13 + -51n = -64 + 56n + -56n Combine like terms: 56n + -56n = 0 -13 + -51n = -64 + 0 -13 + -51n = -64 Add '13' to each side of the equation. -13 + 13 + -51n = -64 + 13 Combine like terms: -13 + 13 = 0 0 + -51n = -64 + 13 -51n = -64 + 13 Combine like terms: -64 + 13 = -51 -51n = -51 Divide each side by '-51'. n = 1 Simplifying n = 1
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