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Simplifying 114 = -2(8n + 7) Reorder the terms: 114 = -2(7 + 8n) 114 = (7 * -2 + 8n * -2) 114 = (-14 + -16n) Solving 114 = -14 + -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. 114 + 16n = -14 + -16n + 16n Combine like terms: -16n + 16n = 0 114 + 16n = -14 + 0 114 + 16n = -14 Add '-114' to each side of the equation. 114 + -114 + 16n = -14 + -114 Combine like terms: 114 + -114 = 0 0 + 16n = -14 + -114 16n = -14 + -114 Combine like terms: -14 + -114 = -128 16n = -128 Divide each side by '16'. n = -8 Simplifying n = -8
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