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Simplifying 3t + 24 + -1t = 3 + 7t + -9 Reorder the terms: 24 + 3t + -1t = 3 + 7t + -9 Combine like terms: 3t + -1t = 2t 24 + 2t = 3 + 7t + -9 Reorder the terms: 24 + 2t = 3 + -9 + 7t Combine like terms: 3 + -9 = -6 24 + 2t = -6 + 7t Solving 24 + 2t = -6 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 24 + 2t + -7t = -6 + 7t + -7t Combine like terms: 2t + -7t = -5t 24 + -5t = -6 + 7t + -7t Combine like terms: 7t + -7t = 0 24 + -5t = -6 + 0 24 + -5t = -6 Add '-24' to each side of the equation. 24 + -24 + -5t = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -5t = -6 + -24 -5t = -6 + -24 Combine like terms: -6 + -24 = -30 -5t = -30 Divide each side by '-5'. t = 6 Simplifying t = 6
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