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Simplifying -7(n + 3) + 22 = -4n + -17 Reorder the terms: -7(3 + n) + 22 = -4n + -17 (3 * -7 + n * -7) + 22 = -4n + -17 (-21 + -7n) + 22 = -4n + -17 Reorder the terms: -21 + 22 + -7n = -4n + -17 Combine like terms: -21 + 22 = 1 1 + -7n = -4n + -17 Reorder the terms: 1 + -7n = -17 + -4n Solving 1 + -7n = -17 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 1 + -7n + 4n = -17 + -4n + 4n Combine like terms: -7n + 4n = -3n 1 + -3n = -17 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -3n = -17 + 0 1 + -3n = -17 Add '-1' to each side of the equation. 1 + -1 + -3n = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -17 + -1 -3n = -17 + -1 Combine like terms: -17 + -1 = -18 -3n = -18 Divide each side by '-3'. n = 6 Simplifying n = 6
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