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Simplifying -13 = 7(n + -7) + -1n Reorder the terms: -13 = 7(-7 + n) + -1n -13 = (-7 * 7 + n * 7) + -1n -13 = (-49 + 7n) + -1n Combine like terms: 7n + -1n = 6n -13 = -49 + 6n Solving -13 = -49 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -13 + -6n = -49 + 6n + -6n Combine like terms: 6n + -6n = 0 -13 + -6n = -49 + 0 -13 + -6n = -49 Add '13' to each side of the equation. -13 + 13 + -6n = -49 + 13 Combine like terms: -13 + 13 = 0 0 + -6n = -49 + 13 -6n = -49 + 13 Combine like terms: -49 + 13 = -36 -6n = -36 Divide each side by '-6'. n = 6 Simplifying n = 6
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