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Simplifying 3n + -2(7 + 5n) = -22 + -6n 3n + (7 * -2 + 5n * -2) = -22 + -6n 3n + (-14 + -10n) = -22 + -6n Reorder the terms: -14 + 3n + -10n = -22 + -6n Combine like terms: 3n + -10n = -7n -14 + -7n = -22 + -6n Solving -14 + -7n = -22 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -14 + -7n + 6n = -22 + -6n + 6n Combine like terms: -7n + 6n = -1n -14 + -1n = -22 + -6n + 6n Combine like terms: -6n + 6n = 0 -14 + -1n = -22 + 0 -14 + -1n = -22 Add '14' to each side of the equation. -14 + 14 + -1n = -22 + 14 Combine like terms: -14 + 14 = 0 0 + -1n = -22 + 14 -1n = -22 + 14 Combine like terms: -22 + 14 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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