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Simplifying 0.08(t + -200) = 44.2 + -0.06t Reorder the terms: 0.08(-200 + t) = 44.2 + -0.06t (-200 * 0.08 + t * 0.08) = 44.2 + -0.06t (-16 + 0.08t) = 44.2 + -0.06t Solving -16 + 0.08t = 44.2 + -0.06t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.06t' to each side of the equation. -16 + 0.08t + 0.06t = 44.2 + -0.06t + 0.06t Combine like terms: 0.08t + 0.06t = 0.14t -16 + 0.14t = 44.2 + -0.06t + 0.06t Combine like terms: -0.06t + 0.06t = 0.00 -16 + 0.14t = 44.2 + 0.00 -16 + 0.14t = 44.2 Add '16' to each side of the equation. -16 + 16 + 0.14t = 44.2 + 16 Combine like terms: -16 + 16 = 0 0 + 0.14t = 44.2 + 16 0.14t = 44.2 + 16 Combine like terms: 44.2 + 16 = 60.2 0.14t = 60.2 Divide each side by '0.14'. t = 430 Simplifying t = 430
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