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Simplifying -6(n + 3) = 1 + -5n Reorder the terms: -6(3 + n) = 1 + -5n (3 * -6 + n * -6) = 1 + -5n (-18 + -6n) = 1 + -5n Solving -18 + -6n = 1 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -18 + -6n + 5n = 1 + -5n + 5n Combine like terms: -6n + 5n = -1n -18 + -1n = 1 + -5n + 5n Combine like terms: -5n + 5n = 0 -18 + -1n = 1 + 0 -18 + -1n = 1 Add '18' to each side of the equation. -18 + 18 + -1n = 1 + 18 Combine like terms: -18 + 18 = 0 0 + -1n = 1 + 18 -1n = 1 + 18 Combine like terms: 1 + 18 = 19 -1n = 19 Divide each side by '-1'. n = -19 Simplifying n = -19
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