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Simplifying 116 = -5n + -4(2n + -3) Reorder the terms: 116 = -5n + -4(-3 + 2n) 116 = -5n + (-3 * -4 + 2n * -4) 116 = -5n + (12 + -8n) Reorder the terms: 116 = 12 + -5n + -8n Combine like terms: -5n + -8n = -13n 116 = 12 + -13n Solving 116 = 12 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. 116 + 13n = 12 + -13n + 13n Combine like terms: -13n + 13n = 0 116 + 13n = 12 + 0 116 + 13n = 12 Add '-116' to each side of the equation. 116 + -116 + 13n = 12 + -116 Combine like terms: 116 + -116 = 0 0 + 13n = 12 + -116 13n = 12 + -116 Combine like terms: 12 + -116 = -104 13n = -104 Divide each side by '13'. n = -8 Simplifying n = -8
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