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Simplifying 3(2t + -4) + 2t = 24 + -1t Reorder the terms: 3(-4 + 2t) + 2t = 24 + -1t (-4 * 3 + 2t * 3) + 2t = 24 + -1t (-12 + 6t) + 2t = 24 + -1t Combine like terms: 6t + 2t = 8t -12 + 8t = 24 + -1t Solving -12 + 8t = 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. -12 + 8t + t = 24 + -1t + t Combine like terms: 8t + t = 9t -12 + 9t = 24 + -1t + t Combine like terms: -1t + t = 0 -12 + 9t = 24 + 0 -12 + 9t = 24 Add '12' to each side of the equation. -12 + 12 + 9t = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 9t = 24 + 12 9t = 24 + 12 Combine like terms: 24 + 12 = 36 9t = 36 Divide each side by '9'. t = 4 Simplifying t = 4
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