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Simplifying -5n + -7 = n + -13 Reorder the terms: -7 + -5n = n + -13 Reorder the terms: -7 + -5n = -13 + n Solving -7 + -5n = -13 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -7 + -5n + -1n = -13 + n + -1n Combine like terms: -5n + -1n = -6n -7 + -6n = -13 + n + -1n Combine like terms: n + -1n = 0 -7 + -6n = -13 + 0 -7 + -6n = -13 Add '7' to each side of the equation. -7 + 7 + -6n = -13 + 7 Combine like terms: -7 + 7 = 0 0 + -6n = -13 + 7 -6n = -13 + 7 Combine like terms: -13 + 7 = -6 -6n = -6 Divide each side by '-6'. n = 1 Simplifying n = 1
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