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Simplifying 0.3(9 + t) = 10.3t + 0.7 (9 * 0.3 + t * 0.3) = 10.3t + 0.7 (2.7 + 0.3t) = 10.3t + 0.7 Reorder the terms: 2.7 + 0.3t = 0.7 + 10.3t Solving 2.7 + 0.3t = 0.7 + 10.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10.3t' to each side of the equation. 2.7 + 0.3t + -10.3t = 0.7 + 10.3t + -10.3t Combine like terms: 0.3t + -10.3t = -10t 2.7 + -10t = 0.7 + 10.3t + -10.3t Combine like terms: 10.3t + -10.3t = 0.0 2.7 + -10t = 0.7 + 0.0 2.7 + -10t = 0.7 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -10t = 0.7 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -10t = 0.7 + -2.7 -10t = 0.7 + -2.7 Combine like terms: 0.7 + -2.7 = -2 -10t = -2 Divide each side by '-10'. t = 0.2 Simplifying t = 0.2
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