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Simplifying 3(n + -14) + -7(n + -18) = 2 Reorder the terms: 3(-14 + n) + -7(n + -18) = 2 (-14 * 3 + n * 3) + -7(n + -18) = 2 (-42 + 3n) + -7(n + -18) = 2 Reorder the terms: -42 + 3n + -7(-18 + n) = 2 -42 + 3n + (-18 * -7 + n * -7) = 2 -42 + 3n + (126 + -7n) = 2 Reorder the terms: -42 + 126 + 3n + -7n = 2 Combine like terms: -42 + 126 = 84 84 + 3n + -7n = 2 Combine like terms: 3n + -7n = -4n 84 + -4n = 2 Solving 84 + -4n = 2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -4n = 2 + -84 Combine like terms: 84 + -84 = 0 0 + -4n = 2 + -84 -4n = 2 + -84 Combine like terms: 2 + -84 = -82 -4n = -82 Divide each side by '-4'. n = 20.5 Simplifying n = 20.5
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