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Simplifying 3(t + 2.4) = 8t + -14.3 Reorder the terms: 3(2.4 + t) = 8t + -14.3 (2.4 * 3 + t * 3) = 8t + -14.3 (7.2 + 3t) = 8t + -14.3 Reorder the terms: 7.2 + 3t = -14.3 + 8t Solving 7.2 + 3t = -14.3 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 7.2 + 3t + -8t = -14.3 + 8t + -8t Combine like terms: 3t + -8t = -5t 7.2 + -5t = -14.3 + 8t + -8t Combine like terms: 8t + -8t = 0 7.2 + -5t = -14.3 + 0 7.2 + -5t = -14.3 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -5t = -14.3 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -5t = -14.3 + -7.2 -5t = -14.3 + -7.2 Combine like terms: -14.3 + -7.2 = -21.5 -5t = -21.5 Divide each side by '-5'. t = 4.3 Simplifying t = 4.3
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