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Simplifying 10n + -4 + 3 + 2n = 4n + 20 + 6n + 3 Reorder the terms: -4 + 3 + 10n + 2n = 4n + 20 + 6n + 3 Combine like terms: -4 + 3 = -1 -1 + 10n + 2n = 4n + 20 + 6n + 3 Combine like terms: 10n + 2n = 12n -1 + 12n = 4n + 20 + 6n + 3 Reorder the terms: -1 + 12n = 20 + 3 + 4n + 6n Combine like terms: 20 + 3 = 23 -1 + 12n = 23 + 4n + 6n Combine like terms: 4n + 6n = 10n -1 + 12n = 23 + 10n Solving -1 + 12n = 23 + 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. -1 + 12n + -10n = 23 + 10n + -10n Combine like terms: 12n + -10n = 2n -1 + 2n = 23 + 10n + -10n Combine like terms: 10n + -10n = 0 -1 + 2n = 23 + 0 -1 + 2n = 23 Add '1' to each side of the equation. -1 + 1 + 2n = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 23 + 1 2n = 23 + 1 Combine like terms: 23 + 1 = 24 2n = 24 Divide each side by '2'. n = 12 Simplifying n = 12
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