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Simplifying 7(n + -7) + -8(7n + 4) = 17 Reorder the terms: 7(-7 + n) + -8(7n + 4) = 17 (-7 * 7 + n * 7) + -8(7n + 4) = 17 (-49 + 7n) + -8(7n + 4) = 17 Reorder the terms: -49 + 7n + -8(4 + 7n) = 17 -49 + 7n + (4 * -8 + 7n * -8) = 17 -49 + 7n + (-32 + -56n) = 17 Reorder the terms: -49 + -32 + 7n + -56n = 17 Combine like terms: -49 + -32 = -81 -81 + 7n + -56n = 17 Combine like terms: 7n + -56n = -49n -81 + -49n = 17 Solving -81 + -49n = 17 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + -49n = 17 + 81 Combine like terms: -81 + 81 = 0 0 + -49n = 17 + 81 -49n = 17 + 81 Combine like terms: 17 + 81 = 98 -49n = 98 Divide each side by '-49'. n = -2 Simplifying n = -2
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