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Simplifying 2(n + -9) + 8 = 7n + -8 Reorder the terms: 2(-9 + n) + 8 = 7n + -8 (-9 * 2 + n * 2) + 8 = 7n + -8 (-18 + 2n) + 8 = 7n + -8 Reorder the terms: -18 + 8 + 2n = 7n + -8 Combine like terms: -18 + 8 = -10 -10 + 2n = 7n + -8 Reorder the terms: -10 + 2n = -8 + 7n Solving -10 + 2n = -8 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -10 + 2n + -7n = -8 + 7n + -7n Combine like terms: 2n + -7n = -5n -10 + -5n = -8 + 7n + -7n Combine like terms: 7n + -7n = 0 -10 + -5n = -8 + 0 -10 + -5n = -8 Add '10' to each side of the equation. -10 + 10 + -5n = -8 + 10 Combine like terms: -10 + 10 = 0 0 + -5n = -8 + 10 -5n = -8 + 10 Combine like terms: -8 + 10 = 2 -5n = 2 Divide each side by '-5'. n = -0.4 Simplifying n = -0.4
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