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Simplifying 4(2t + -3) = 24 + -4t Reorder the terms: 4(-3 + 2t) = 24 + -4t (-3 * 4 + 2t * 4) = 24 + -4t (-12 + 8t) = 24 + -4t Solving -12 + 8t = 24 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. -12 + 8t + 4t = 24 + -4t + 4t Combine like terms: 8t + 4t = 12t -12 + 12t = 24 + -4t + 4t Combine like terms: -4t + 4t = 0 -12 + 12t = 24 + 0 -12 + 12t = 24 Add '12' to each side of the equation. -12 + 12 + 12t = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 12t = 24 + 12 12t = 24 + 12 Combine like terms: 24 + 12 = 36 12t = 36 Divide each side by '12'. t = 3 Simplifying t = 3
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