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Simplifying n + -10 = 0.83n + -7 + -0.33n Reorder the terms: -10 + n = 0.83n + -7 + -0.33n Reorder the terms: -10 + n = -7 + 0.83n + -0.33n Combine like terms: 0.83n + -0.33n = 0.5n -10 + n = -7 + 0.5n Solving -10 + n = -7 + 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. -10 + n + -0.5n = -7 + 0.5n + -0.5n Combine like terms: n + -0.5n = 0.5n -10 + 0.5n = -7 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -10 + 0.5n = -7 + 0.0 -10 + 0.5n = -7 Add '10' to each side of the equation. -10 + 10 + 0.5n = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 0.5n = -7 + 10 0.5n = -7 + 10 Combine like terms: -7 + 10 = 3 0.5n = 3 Divide each side by '0.5'. n = 6 Simplifying n = 6
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