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Simplifying 7n + 2 + -10n = 3n + 4 + -5n Reorder the terms: 2 + 7n + -10n = 3n + 4 + -5n Combine like terms: 7n + -10n = -3n 2 + -3n = 3n + 4 + -5n Reorder the terms: 2 + -3n = 4 + 3n + -5n Combine like terms: 3n + -5n = -2n 2 + -3n = 4 + -2n Solving 2 + -3n = 4 + -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. 2 + -3n + 2n = 4 + -2n + 2n Combine like terms: -3n + 2n = -1n 2 + -1n = 4 + -2n + 2n Combine like terms: -2n + 2n = 0 2 + -1n = 4 + 0 2 + -1n = 4 Add '-2' to each side of the equation. 2 + -2 + -1n = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -1n = 4 + -2 -1n = 4 + -2 Combine like terms: 4 + -2 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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