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Simplifying 0.5n + -9 = 2n + -36 Reorder the terms: -9 + 0.5n = 2n + -36 Reorder the terms: -9 + 0.5n = -36 + 2n Solving -9 + 0.5n = -36 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -9 + 0.5n + -2n = -36 + 2n + -2n Combine like terms: 0.5n + -2n = -1.5n -9 + -1.5n = -36 + 2n + -2n Combine like terms: 2n + -2n = 0 -9 + -1.5n = -36 + 0 -9 + -1.5n = -36 Add '9' to each side of the equation. -9 + 9 + -1.5n = -36 + 9 Combine like terms: -9 + 9 = 0 0 + -1.5n = -36 + 9 -1.5n = -36 + 9 Combine like terms: -36 + 9 = -27 -1.5n = -27 Divide each side by '-1.5'. n = 18 Simplifying n = 18
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