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Simplifying 13 + 6n = 10n + -19 Reorder the terms: 13 + 6n = -19 + 10n Solving 13 + 6n = -19 + 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 + 6n + -10n = -19 + 10n + -10n Combine like terms: 6n + -10n = -4n 13 + -4n = -19 + 10n + -10n Combine like terms: 10n + -10n = 0 13 + -4n = -19 + 0 13 + -4n = -19 Add '-13' to each side of the equation. 13 + -13 + -4n = -19 + -13 Combine like terms: 13 + -13 = 0 0 + -4n = -19 + -13 -4n = -19 + -13 Combine like terms: -19 + -13 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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