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Simplifying 4n + 3 + -10n = 9 + -5n + -2 Reorder the terms: 3 + 4n + -10n = 9 + -5n + -2 Combine like terms: 4n + -10n = -6n 3 + -6n = 9 + -5n + -2 Reorder the terms: 3 + -6n = 9 + -2 + -5n Combine like terms: 9 + -2 = 7 3 + -6n = 7 + -5n Solving 3 + -6n = 7 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 3 + -6n + 5n = 7 + -5n + 5n Combine like terms: -6n + 5n = -1n 3 + -1n = 7 + -5n + 5n Combine like terms: -5n + 5n = 0 3 + -1n = 7 + 0 3 + -1n = 7 Add '-3' to each side of the equation. 3 + -3 + -1n = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 7 + -3 -1n = 7 + -3 Combine like terms: 7 + -3 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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