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Simplifying -2(1 + 7n) + -5n = -78 (1 * -2 + 7n * -2) + -5n = -78 (-2 + -14n) + -5n = -78 Combine like terms: -14n + -5n = -19n -2 + -19n = -78 Solving -2 + -19n = -78 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -19n = -78 + 2 Combine like terms: -2 + 2 = 0 0 + -19n = -78 + 2 -19n = -78 + 2 Combine like terms: -78 + 2 = -76 -19n = -76 Divide each side by '-19'. n = 4 Simplifying n = 4
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