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Simplifying 2 * 0.98t * 0.5 + -9636 + 0.00004t + -158 = 0.98t + -9636 Reorder the terms for easier multiplication: 2 * 0.98 * 0.5t + -9636 + 0.00004t + -158 = 0.98t + -9636 Multiply 2 * 0.98 1.96 * 0.5t + -9636 + 0.00004t + -158 = 0.98t + -9636 Multiply 1.96 * 0.5 0.98t + -9636 + 0.00004t + -158 = 0.98t + -9636 Reorder the terms: -9636 + -158 + 0.98t + 0.00004t = 0.98t + -9636 Combine like terms: -9636 + -158 = -9794 -9794 + 0.98t + 0.00004t = 0.98t + -9636 Combine like terms: 0.98t + 0.00004t = 0.98004t -9794 + 0.98004t = 0.98t + -9636 Reorder the terms: -9794 + 0.98004t = -9636 + 0.98t Solving -9794 + 0.98004t = -9636 + 0.98t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.98t' to each side of the equation. -9794 + 0.98004t + -0.98t = -9636 + 0.98t + -0.98t Combine like terms: 0.98004t + -0.98t = 0.00004t -9794 + 0.00004t = -9636 + 0.98t + -0.98t Combine like terms: 0.98t + -0.98t = 0.00 -9794 + 0.00004t = -9636 + 0.00 -9794 + 0.00004t = -9636 Add '9794' to each side of the equation. -9794 + 9794 + 0.00004t = -9636 + 9794 Combine like terms: -9794 + 9794 = 0 0 + 0.00004t = -9636 + 9794 0.00004t = -9636 + 9794 Combine like terms: -9636 + 9794 = 158 0.00004t = 158 Divide each side by '0.00004'. t = 3950000 Simplifying t = 3950000
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