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Simplifying -29 + 6n = 4 + 5(1 + 5n) -29 + 6n = 4 + (1 * 5 + 5n * 5) -29 + 6n = 4 + (5 + 25n) Combine like terms: 4 + 5 = 9 -29 + 6n = 9 + 25n Solving -29 + 6n = 9 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -29 + 6n + -25n = 9 + 25n + -25n Combine like terms: 6n + -25n = -19n -29 + -19n = 9 + 25n + -25n Combine like terms: 25n + -25n = 0 -29 + -19n = 9 + 0 -29 + -19n = 9 Add '29' to each side of the equation. -29 + 29 + -19n = 9 + 29 Combine like terms: -29 + 29 = 0 0 + -19n = 9 + 29 -19n = 9 + 29 Combine like terms: 9 + 29 = 38 -19n = 38 Divide each side by '-19'. n = -2 Simplifying n = -2
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