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Simplifying -7(n + 4) + 29 = -4n + -5 Reorder the terms: -7(4 + n) + 29 = -4n + -5 (4 * -7 + n * -7) + 29 = -4n + -5 (-28 + -7n) + 29 = -4n + -5 Reorder the terms: -28 + 29 + -7n = -4n + -5 Combine like terms: -28 + 29 = 1 1 + -7n = -4n + -5 Reorder the terms: 1 + -7n = -5 + -4n Solving 1 + -7n = -5 + -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 = -5 + -4n + 4n Combine like terms: -7n + 4n = -3n 1 + -3n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -3n = -5 + 0 1 + -3n = -5 Add '-1' to each side of the equation. 1 + -1 + -3n = -5 + -1 Combine like terms: 1 + -1 = 0 0 + -3n = -5 + -1 -3n = -5 + -1 Combine like terms: -5 + -1 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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