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Simplifying -5(6 + -1n) + 1 = 3n + -5(n + -4) (6 * -5 + -1n * -5) + 1 = 3n + -5(n + -4) (-30 + 5n) + 1 = 3n + -5(n + -4) Reorder the terms: -30 + 1 + 5n = 3n + -5(n + -4) Combine like terms: -30 + 1 = -29 -29 + 5n = 3n + -5(n + -4) Reorder the terms: -29 + 5n = 3n + -5(-4 + n) -29 + 5n = 3n + (-4 * -5 + n * -5) -29 + 5n = 3n + (20 + -5n) Reorder the terms: -29 + 5n = 20 + 3n + -5n Combine like terms: 3n + -5n = -2n -29 + 5n = 20 + -2n Solving -29 + 5n = 20 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -29 + 5n + 2n = 20 + -2n + 2n Combine like terms: 5n + 2n = 7n -29 + 7n = 20 + -2n + 2n Combine like terms: -2n + 2n = 0 -29 + 7n = 20 + 0 -29 + 7n = 20 Add '29' to each side of the equation. -29 + 29 + 7n = 20 + 29 Combine like terms: -29 + 29 = 0 0 + 7n = 20 + 29 7n = 20 + 29 Combine like terms: 20 + 29 = 49 7n = 49 Divide each side by '7'. n = 7 Simplifying n = 7
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