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Simplifying 12 + -1(1.8n) = 22.8 + -2.7n Remove parenthesis around (1.8n) 12 + -1 * 1.8n = 22.8 + -2.7n Multiply -1 * 1.8 12 + -1.8n = 22.8 + -2.7n Solving 12 + -1.8n = 22.8 + -2.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2.7n' to each side of the equation. 12 + -1.8n + 2.7n = 22.8 + -2.7n + 2.7n Combine like terms: -1.8n + 2.7n = 0.9n 12 + 0.9n = 22.8 + -2.7n + 2.7n Combine like terms: -2.7n + 2.7n = 0.0 12 + 0.9n = 22.8 + 0.0 12 + 0.9n = 22.8 Add '-12' to each side of the equation. 12 + -12 + 0.9n = 22.8 + -12 Combine like terms: 12 + -12 = 0 0 + 0.9n = 22.8 + -12 0.9n = 22.8 + -12 Combine like terms: 22.8 + -12 = 10.8 0.9n = 10.8 Divide each side by '0.9'. n = 12 Simplifying n = 12
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