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Simplifying 118 = 2(8n + -5) Reorder the terms: 118 = 2(-5 + 8n) 118 = (-5 * 2 + 8n * 2) 118 = (-10 + 16n) Solving 118 = -10 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 118 + -16n = -10 + 16n + -16n Combine like terms: 16n + -16n = 0 118 + -16n = -10 + 0 118 + -16n = -10 Add '-118' to each side of the equation. 118 + -118 + -16n = -10 + -118 Combine like terms: 118 + -118 = 0 0 + -16n = -10 + -118 -16n = -10 + -118 Combine like terms: -10 + -118 = -128 -16n = -128 Divide each side by '-16'. n = 8 Simplifying n = 8
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