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Simplifying -7(n + 4) + 29 = -3n + -19 Reorder the terms: -7(4 + n) + 29 = -3n + -19 (4 * -7 + n * -7) + 29 = -3n + -19 (-28 + -7n) + 29 = -3n + -19 Reorder the terms: -28 + 29 + -7n = -3n + -19 Combine like terms: -28 + 29 = 1 1 + -7n = -3n + -19 Reorder the terms: 1 + -7n = -19 + -3n Solving 1 + -7n = -19 + -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. 1 + -7n + 3n = -19 + -3n + 3n Combine like terms: -7n + 3n = -4n 1 + -4n = -19 + -3n + 3n Combine like terms: -3n + 3n = 0 1 + -4n = -19 + 0 1 + -4n = -19 Add '-1' to each side of the equation. 1 + -1 + -4n = -19 + -1 Combine like terms: 1 + -1 = 0 0 + -4n = -19 + -1 -4n = -19 + -1 Combine like terms: -19 + -1 = -20 -4n = -20 Divide each side by '-4'. n = 5 Simplifying n = 5
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