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Simplifying 7n + 22 = -1n + -2(-2n + 1) Reorder the terms: 22 + 7n = -1n + -2(-2n + 1) Reorder the terms: 22 + 7n = -1n + -2(1 + -2n) 22 + 7n = -1n + (1 * -2 + -2n * -2) 22 + 7n = -1n + (-2 + 4n) Reorder the terms: 22 + 7n = -2 + -1n + 4n Combine like terms: -1n + 4n = 3n 22 + 7n = -2 + 3n Solving 22 + 7n = -2 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 22 + 7n + -3n = -2 + 3n + -3n Combine like terms: 7n + -3n = 4n 22 + 4n = -2 + 3n + -3n Combine like terms: 3n + -3n = 0 22 + 4n = -2 + 0 22 + 4n = -2 Add '-22' to each side of the equation. 22 + -22 + 4n = -2 + -22 Combine like terms: 22 + -22 = 0 0 + 4n = -2 + -22 4n = -2 + -22 Combine like terms: -2 + -22 = -24 4n = -24 Divide each side by '4'. n = -6 Simplifying n = -6
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