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Simplifying 2(-3n + 7) = -5n + 22 Reorder the terms: 2(7 + -3n) = -5n + 22 (7 * 2 + -3n * 2) = -5n + 22 (14 + -6n) = -5n + 22 Reorder the terms: 14 + -6n = 22 + -5n Solving 14 + -6n = 22 + -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. 14 + -6n + 5n = 22 + -5n + 5n Combine like terms: -6n + 5n = -1n 14 + -1n = 22 + -5n + 5n Combine like terms: -5n + 5n = 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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