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