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Simplifying -1(2n + 1) + -2(1 + 5n) = 21 Reorder the terms: -1(1 + 2n) + -2(1 + 5n) = 21 (1 * -1 + 2n * -1) + -2(1 + 5n) = 21 (-1 + -2n) + -2(1 + 5n) = 21 -1 + -2n + (1 * -2 + 5n * -2) = 21 -1 + -2n + (-2 + -10n) = 21 Reorder the terms: -1 + -2 + -2n + -10n = 21 Combine like terms: -1 + -2 = -3 -3 + -2n + -10n = 21 Combine like terms: -2n + -10n = -12n -3 + -12n = 21 Solving -3 + -12n = 21 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -12n = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -12n = 21 + 3 -12n = 21 + 3 Combine like terms: 21 + 3 = 24 -12n = 24 Divide each side by '-12'. n = -2 Simplifying n = -2
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