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Simplifying 10.6 = 14 + -0.3(n + -1) Reorder the terms: 10.6 = 14 + -0.3(-1 + n) 10.6 = 14 + (-1 * -0.3 + n * -0.3) 10.6 = 14 + (0.3 + -0.3n) Combine like terms: 14 + 0.3 = 14.3 10.6 = 14.3 + -0.3n Solving 10.6 = 14.3 + -0.3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.3n' to each side of the equation. 10.6 + 0.3n = 14.3 + -0.3n + 0.3n Combine like terms: -0.3n + 0.3n = 0.0 10.6 + 0.3n = 14.3 + 0.0 10.6 + 0.3n = 14.3 Add '-10.6' to each side of the equation. 10.6 + -10.6 + 0.3n = 14.3 + -10.6 Combine like terms: 10.6 + -10.6 = 0.0 0.0 + 0.3n = 14.3 + -10.6 0.3n = 14.3 + -10.6 Combine like terms: 14.3 + -10.6 = 3.7 0.3n = 3.7 Divide each side by '0.3'. n = 12.33333333 Simplifying n = 12.33333333
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