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Simplifying 2(3t + -4) + t = 24 + -1t Reorder the terms: 2(-4 + 3t) + t = 24 + -1t (-4 * 2 + 3t * 2) + t = 24 + -1t (-8 + 6t) + t = 24 + -1t Combine like terms: 6t + t = 7t -8 + 7t = 24 + -1t Solving -8 + 7t = 24 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -8 + 7t + t = 24 + -1t + t Combine like terms: 7t + t = 8t -8 + 8t = 24 + -1t + t Combine like terms: -1t + t = 0 -8 + 8t = 24 + 0 -8 + 8t = 24 Add '8' to each side of the equation. -8 + 8 + 8t = 24 + 8 Combine like terms: -8 + 8 = 0 0 + 8t = 24 + 8 8t = 24 + 8 Combine like terms: 24 + 8 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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