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Simplifying 3(2t + -4) = 24 + -3t Reorder the terms: 3(-4 + 2t) = 24 + -3t (-4 * 3 + 2t * 3) = 24 + -3t (-12 + 6t) = 24 + -3t Solving -12 + 6t = 24 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -12 + 6t + 3t = 24 + -3t + 3t Combine like terms: 6t + 3t = 9t -12 + 9t = 24 + -3t + 3t Combine like terms: -3t + 3t = 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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