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Simplifying 146.005 = 3.5(3.2 + -6.9n) + 0.5n 146.005 = (3.2 * 3.5 + -6.9n * 3.5) + 0.5n 146.005 = (11.2 + -24.15n) + 0.5n Combine like terms: -24.15n + 0.5n = -23.65n 146.005 = 11.2 + -23.65n Solving 146.005 = 11.2 + -23.65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '23.65n' to each side of the equation. 146.005 + 23.65n = 11.2 + -23.65n + 23.65n Combine like terms: -23.65n + 23.65n = 0.00 146.005 + 23.65n = 11.2 + 0.00 146.005 + 23.65n = 11.2 Add '-146.005' to each side of the equation. 146.005 + -146.005 + 23.65n = 11.2 + -146.005 Combine like terms: 146.005 + -146.005 = 0.000 0.000 + 23.65n = 11.2 + -146.005 23.65n = 11.2 + -146.005 Combine like terms: 11.2 + -146.005 = -134.805 23.65n = -134.805 Divide each side by '23.65'. n = -5.7 Simplifying n = -5.7
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