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Simplifying 0.83t + 4 = 0.16t + -2 Reorder the terms: 4 + 0.83t = 0.16t + -2 Reorder the terms: 4 + 0.83t = -2 + 0.16t Solving 4 + 0.83t = -2 + 0.16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.16t' to each side of the equation. 4 + 0.83t + -0.16t = -2 + 0.16t + -0.16t Combine like terms: 0.83t + -0.16t = 0.67t 4 + 0.67t = -2 + 0.16t + -0.16t Combine like terms: 0.16t + -0.16t = 0.00 4 + 0.67t = -2 + 0.00 4 + 0.67t = -2 Add '-4' to each side of the equation. 4 + -4 + 0.67t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 0.67t = -2 + -4 0.67t = -2 + -4 Combine like terms: -2 + -4 = -6 0.67t = -6 Divide each side by '0.67'. t = -8.955223881 Simplifying t = -8.955223881
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