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