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Simplifying 6(1 + 4) + -1n = -5n + -22 Combine like terms: 1 + 4 = 5 6(5) + -1n = -5n + -22 Multiply 6 * 5 30 + -1n = -5n + -22 Reorder the terms: 30 + -1n = -22 + -5n Solving 30 + -1n = -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. 30 + -1n + 5n = -22 + -5n + 5n Combine like terms: -1n + 5n = 4n 30 + 4n = -22 + -5n + 5n Combine like terms: -5n + 5n = 0 30 + 4n = -22 + 0 30 + 4n = -22 Add '-30' to each side of the equation. 30 + -30 + 4n = -22 + -30 Combine like terms: 30 + -30 = 0 0 + 4n = -22 + -30 4n = -22 + -30 Combine like terms: -22 + -30 = -52 4n = -52 Divide each side by '4'. n = -13 Simplifying n = -13
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