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Simplifying -1(7n + 1) + -5(n + 7) = 12 Reorder the terms: -1(1 + 7n) + -5(n + 7) = 12 (1 * -1 + 7n * -1) + -5(n + 7) = 12 (-1 + -7n) + -5(n + 7) = 12 Reorder the terms: -1 + -7n + -5(7 + n) = 12 -1 + -7n + (7 * -5 + n * -5) = 12 -1 + -7n + (-35 + -5n) = 12 Reorder the terms: -1 + -35 + -7n + -5n = 12 Combine like terms: -1 + -35 = -36 -36 + -7n + -5n = 12 Combine like terms: -7n + -5n = -12n -36 + -12n = 12 Solving -36 + -12n = 12 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -12n = 12 + 36 Combine like terms: -36 + 36 = 0 0 + -12n = 12 + 36 -12n = 12 + 36 Combine like terms: 12 + 36 = 48 -12n = 48 Divide each side by '-12'. n = -4 Simplifying n = -4
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