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Simplifying 2(3t + -4) + 1 = 24 + -1t Reorder the terms: 2(-4 + 3t) + 1 = 24 + -1t (-4 * 2 + 3t * 2) + 1 = 24 + -1t (-8 + 6t) + 1 = 24 + -1t Reorder the terms: -8 + 1 + 6t = 24 + -1t Combine like terms: -8 + 1 = -7 -7 + 6t = 24 + -1t Solving -7 + 6t = 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. -7 + 6t + t = 24 + -1t + t Combine like terms: 6t + t = 7t -7 + 7t = 24 + -1t + t Combine like terms: -1t + t = 0 -7 + 7t = 24 + 0 -7 + 7t = 24 Add '7' to each side of the equation. -7 + 7 + 7t = 24 + 7 Combine like terms: -7 + 7 = 0 0 + 7t = 24 + 7 7t = 24 + 7 Combine like terms: 24 + 7 = 31 7t = 31 Divide each side by '7'. t = 4.428571429 Simplifying t = 4.428571429
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