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Simplifying 114 = 0.5n + -6 Reorder the terms: 114 = -6 + 0.5n Solving 114 = -6 + 0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.5n' to each side of the equation. 114 + -0.5n = -6 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 114 + -0.5n = -6 + 0.0 114 + -0.5n = -6 Add '-114' to each side of the equation. 114 + -114 + -0.5n = -6 + -114 Combine like terms: 114 + -114 = 0 0 + -0.5n = -6 + -114 -0.5n = -6 + -114 Combine like terms: -6 + -114 = -120 -0.5n = -120 Divide each side by '-0.5'. n = 240 Simplifying n = 240
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