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Simplifying 0.07t + 0.02(3t + 8) = -0.1 Reorder the terms: 0.07t + 0.02(8 + 3t) = -0.1 0.07t + (8 * 0.02 + 3t * 0.02) = -0.1 0.07t + (0.16 + 0.06t) = -0.1 Reorder the terms: 0.16 + 0.07t + 0.06t = -0.1 Combine like terms: 0.07t + 0.06t = 0.13t 0.16 + 0.13t = -0.1 Solving 0.16 + 0.13t = -0.1 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.16' to each side of the equation. 0.16 + -0.16 + 0.13t = -0.1 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + 0.13t = -0.1 + -0.16 0.13t = -0.1 + -0.16 Combine like terms: -0.1 + -0.16 = -0.26 0.13t = -0.26 Divide each side by '0.13'. t = -2 Simplifying t = -2
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