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Simplifying 12 + -0.8(n + -11) = 0.7(n + -11) Reorder the terms: 12 + -0.8(-11 + n) = 0.7(n + -11) 12 + (-11 * -0.8 + n * -0.8) = 0.7(n + -11) 12 + (8.8 + -0.8n) = 0.7(n + -11) Combine like terms: 12 + 8.8 = 20.8 20.8 + -0.8n = 0.7(n + -11) Reorder the terms: 20.8 + -0.8n = 0.7(-11 + n) 20.8 + -0.8n = (-11 * 0.7 + n * 0.7) 20.8 + -0.8n = (-7.7 + 0.7n) Solving 20.8 + -0.8n = -7.7 + 0.7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.7n' to each side of the equation. 20.8 + -0.8n + -0.7n = -7.7 + 0.7n + -0.7n Combine like terms: -0.8n + -0.7n = -1.5n 20.8 + -1.5n = -7.7 + 0.7n + -0.7n Combine like terms: 0.7n + -0.7n = 0.0 20.8 + -1.5n = -7.7 + 0.0 20.8 + -1.5n = -7.7 Add '-20.8' to each side of the equation. 20.8 + -20.8 + -1.5n = -7.7 + -20.8 Combine like terms: 20.8 + -20.8 = 0.0 0.0 + -1.5n = -7.7 + -20.8 -1.5n = -7.7 + -20.8 Combine like terms: -7.7 + -20.8 = -28.5 -1.5n = -28.5 Divide each side by '-1.5'. n = 19 Simplifying n = 19
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