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Simplifying 0.07(3t + 5) = 0.21(t + 1) * 0.14 Reorder the terms: 0.07(5 + 3t) = 0.21(t + 1) * 0.14 (5 * 0.07 + 3t * 0.07) = 0.21(t + 1) * 0.14 (0.35 + 0.21t) = 0.21(t + 1) * 0.14 Reorder the terms: 0.35 + 0.21t = 0.21(1 + t) * 0.14 Reorder the terms for easier multiplication: 0.35 + 0.21t = 0.21 * 0.14(1 + t) Multiply 0.21 * 0.14 0.35 + 0.21t = 0.0294(1 + t) 0.35 + 0.21t = (1 * 0.0294 + t * 0.0294) 0.35 + 0.21t = (0.0294 + 0.0294t) Solving 0.35 + 0.21t = 0.0294 + 0.0294t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.0294t' to each side of the equation. 0.35 + 0.21t + -0.0294t = 0.0294 + 0.0294t + -0.0294t Combine like terms: 0.21t + -0.0294t = 0.1806t 0.35 + 0.1806t = 0.0294 + 0.0294t + -0.0294t Combine like terms: 0.0294t + -0.0294t = 0.0000 0.35 + 0.1806t = 0.0294 + 0.0000 0.35 + 0.1806t = 0.0294 Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.1806t = 0.0294 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.1806t = 0.0294 + -0.35 0.1806t = 0.0294 + -0.35 Combine like terms: 0.0294 + -0.35 = -0.3206 0.1806t = -0.3206 Divide each side by '0.1806'. t = -1.775193798 Simplifying t = -1.775193798
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