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Simplifying 5(1 + -2n) + -7 = -27 + -5n (1 * 5 + -2n * 5) + -7 = -27 + -5n (5 + -10n) + -7 = -27 + -5n Reorder the terms: 5 + -7 + -10n = -27 + -5n Combine like terms: 5 + -7 = -2 -2 + -10n = -27 + -5n Solving -2 + -10n = -27 + -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. -2 + -10n + 5n = -27 + -5n + 5n Combine like terms: -10n + 5n = -5n -2 + -5n = -27 + -5n + 5n Combine like terms: -5n + 5n = 0 -2 + -5n = -27 + 0 -2 + -5n = -27 Add '2' to each side of the equation. -2 + 2 + -5n = -27 + 2 Combine like terms: -2 + 2 = 0 0 + -5n = -27 + 2 -5n = -27 + 2 Combine like terms: -27 + 2 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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