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Simplifying 0.83 = 4 + 20(n + -1) + 8 Reorder the terms: 0.83 = 4 + 20(-1 + n) + 8 0.83 = 4 + (-1 * 20 + n * 20) + 8 0.83 = 4 + (-20 + 20n) + 8 Reorder the terms: 0.83 = 4 + -20 + 8 + 20n Combine like terms: 4 + -20 = -16 0.83 = -16 + 8 + 20n Combine like terms: -16 + 8 = -8 0.83 = -8 + 20n Solving 0.83 = -8 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 0.83 + -20n = -8 + 20n + -20n Combine like terms: 20n + -20n = 0 0.83 + -20n = -8 + 0 0.83 + -20n = -8 Add '-0.83' to each side of the equation. 0.83 + -0.83 + -20n = -8 + -0.83 Combine like terms: 0.83 + -0.83 = 0.00 0.00 + -20n = -8 + -0.83 -20n = -8 + -0.83 Combine like terms: -8 + -0.83 = -8.83 -20n = -8.83 Divide each side by '-20'. n = 0.4415 Simplifying n = 0.4415
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