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Simplifying n + -8 + -2 = 0.5(n + -2) Reorder the terms: -8 + -2 + n = 0.5(n + -2) Combine like terms: -8 + -2 = -10 -10 + n = 0.5(n + -2) Reorder the terms: -10 + n = 0.5(-2 + n) -10 + n = (-2 * 0.5 + n * 0.5) -10 + n = (-1 + 0.5n) Solving -10 + n = -1 + 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 = -1 + 0.5n + -0.5n Combine like terms: n + -0.5n = 0.5n -10 + 0.5n = -1 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -10 + 0.5n = -1 + 0.0 -10 + 0.5n = -1 Add '10' to each side of the equation. -10 + 10 + 0.5n = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 0.5n = -1 + 10 0.5n = -1 + 10 Combine like terms: -1 + 10 = 9 0.5n = 9 Divide each side by '0.5'. n = 18 Simplifying n = 18
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