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Simplifying 5n + 13 = -107 + -10n Reorder the terms: 13 + 5n = -107 + -10n Solving 13 + 5n = -107 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. 13 + 5n + 10n = -107 + -10n + 10n Combine like terms: 5n + 10n = 15n 13 + 15n = -107 + -10n + 10n Combine like terms: -10n + 10n = 0 13 + 15n = -107 + 0 13 + 15n = -107 Add '-13' to each side of the equation. 13 + -13 + 15n = -107 + -13 Combine like terms: 13 + -13 = 0 0 + 15n = -107 + -13 15n = -107 + -13 Combine like terms: -107 + -13 = -120 15n = -120 Divide each side by '15'. n = -8 Simplifying n = -8
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