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Simplifying 1085.4 = 1077 + 0.1(n + -1) Reorder the terms: 1085.4 = 1077 + 0.1(-1 + n) 1085.4 = 1077 + (-1 * 0.1 + n * 0.1) 1085.4 = 1077 + (-0.1 + 0.1n) Combine like terms: 1077 + -0.1 = 1076.9 1085.4 = 1076.9 + 0.1n Solving 1085.4 = 1076.9 + 0.1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-0.1n' to each side of the equation. 1085.4 + -0.1n = 1076.9 + 0.1n + -0.1n Combine like terms: 0.1n + -0.1n = 0.0 1085.4 + -0.1n = 1076.9 + 0.0 1085.4 + -0.1n = 1076.9 Add '-1085.4' to each side of the equation. 1085.4 + -1085.4 + -0.1n = 1076.9 + -1085.4 Combine like terms: 1085.4 + -1085.4 = 0.0 0.0 + -0.1n = 1076.9 + -1085.4 -0.1n = 1076.9 + -1085.4 Combine like terms: 1076.9 + -1085.4 = -8.5 -0.1n = -8.5 Divide each side by '-0.1'. n = 85 Simplifying n = 85
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