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Simplifying 0.3(9 + t) = 4.1t + 0.8 (9 * 0.3 + t * 0.3) = 4.1t + 0.8 (2.7 + 0.3t) = 4.1t + 0.8 Reorder the terms: 2.7 + 0.3t = 0.8 + 4.1t Solving 2.7 + 0.3t = 0.8 + 4.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.1t' to each side of the equation. 2.7 + 0.3t + -4.1t = 0.8 + 4.1t + -4.1t Combine like terms: 0.3t + -4.1t = -3.8t 2.7 + -3.8t = 0.8 + 4.1t + -4.1t Combine like terms: 4.1t + -4.1t = 0.0 2.7 + -3.8t = 0.8 + 0.0 2.7 + -3.8t = 0.8 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -3.8t = 0.8 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -3.8t = 0.8 + -2.7 -3.8t = 0.8 + -2.7 Combine like terms: 0.8 + -2.7 = -1.9 -3.8t = -1.9 Divide each side by '-3.8'. t = 0.5 Simplifying t = 0.5
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