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Simplifying -29 = -5(n + -1) + 6(7 + 4n) Reorder the terms: -29 = -5(-1 + n) + 6(7 + 4n) -29 = (-1 * -5 + n * -5) + 6(7 + 4n) -29 = (5 + -5n) + 6(7 + 4n) -29 = 5 + -5n + (7 * 6 + 4n * 6) -29 = 5 + -5n + (42 + 24n) Reorder the terms: -29 = 5 + 42 + -5n + 24n Combine like terms: 5 + 42 = 47 -29 = 47 + -5n + 24n Combine like terms: -5n + 24n = 19n -29 = 47 + 19n Solving -29 = 47 + 19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19n' to each side of the equation. -29 + -19n = 47 + 19n + -19n Combine like terms: 19n + -19n = 0 -29 + -19n = 47 + 0 -29 + -19n = 47 Add '29' to each side of the equation. -29 + 29 + -19n = 47 + 29 Combine like terms: -29 + 29 = 0 0 + -19n = 47 + 29 -19n = 47 + 29 Combine like terms: 47 + 29 = 76 -19n = 76 Divide each side by '-19'. n = -4 Simplifying n = -4
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