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Simplifying -5(2n + 5) + 6 = 1 + 5(4 + -1n) Reorder the terms: -5(5 + 2n) + 6 = 1 + 5(4 + -1n) (5 * -5 + 2n * -5) + 6 = 1 + 5(4 + -1n) (-25 + -10n) + 6 = 1 + 5(4 + -1n) Reorder the terms: -25 + 6 + -10n = 1 + 5(4 + -1n) Combine like terms: -25 + 6 = -19 -19 + -10n = 1 + 5(4 + -1n) -19 + -10n = 1 + (4 * 5 + -1n * 5) -19 + -10n = 1 + (20 + -5n) Combine like terms: 1 + 20 = 21 -19 + -10n = 21 + -5n Solving -19 + -10n = 21 + -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. -19 + -10n + 5n = 21 + -5n + 5n Combine like terms: -10n + 5n = -5n -19 + -5n = 21 + -5n + 5n Combine like terms: -5n + 5n = 0 -19 + -5n = 21 + 0 -19 + -5n = 21 Add '19' to each side of the equation. -19 + 19 + -5n = 21 + 19 Combine like terms: -19 + 19 = 0 0 + -5n = 21 + 19 -5n = 21 + 19 Combine like terms: 21 + 19 = 40 -5n = 40 Divide each side by '-5'. n = -8 Simplifying n = -8
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