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Simplifying 4n + -2 + -1n = 10n + 19 Reorder the terms: -2 + 4n + -1n = 10n + 19 Combine like terms: 4n + -1n = 3n -2 + 3n = 10n + 19 Reorder the terms: -2 + 3n = 19 + 10n Solving -2 + 3n = 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. -2 + 3n + -10n = 19 + 10n + -10n Combine like terms: 3n + -10n = -7n -2 + -7n = 19 + 10n + -10n Combine like terms: 10n + -10n = 0 -2 + -7n = 19 + 0 -2 + -7n = 19 Add '2' to each side of the equation. -2 + 2 + -7n = 19 + 2 Combine like terms: -2 + 2 = 0 0 + -7n = 19 + 2 -7n = 19 + 2 Combine like terms: 19 + 2 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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