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Simplifying 12 + -8.5n = 1.5n + 11 Reorder the terms: 12 + -8.5n = 11 + 1.5n Solving 12 + -8.5n = 11 + 1.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.5n' to each side of the equation. 12 + -8.5n + -1.5n = 11 + 1.5n + -1.5n Combine like terms: -8.5n + -1.5n = -10n 12 + -10n = 11 + 1.5n + -1.5n Combine like terms: 1.5n + -1.5n = 0.0 12 + -10n = 11 + 0.0 12 + -10n = 11 Add '-12' to each side of the equation. 12 + -12 + -10n = 11 + -12 Combine like terms: 12 + -12 = 0 0 + -10n = 11 + -12 -10n = 11 + -12 Combine like terms: 11 + -12 = -1 -10n = -1 Divide each side by '-10'. n = 0.1 Simplifying n = 0.1
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