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Simplifying -114 = -6(8n + -5) Reorder the terms: -114 = -6(-5 + 8n) -114 = (-5 * -6 + 8n * -6) -114 = (30 + -48n) Solving -114 = 30 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -114 + 48n = 30 + -48n + 48n Combine like terms: -48n + 48n = 0 -114 + 48n = 30 + 0 -114 + 48n = 30 Add '114' to each side of the equation. -114 + 114 + 48n = 30 + 114 Combine like terms: -114 + 114 = 0 0 + 48n = 30 + 114 48n = 30 + 114 Combine like terms: 30 + 114 = 144 48n = 144 Divide each side by '48'. n = 3 Simplifying n = 3
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