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Simplifying 4(2t + -3) = 5t Reorder the terms: 4(-3 + 2t) = 5t (-3 * 4 + 2t * 4) = 5t (-12 + 8t) = 5t Solving -12 + 8t = 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -12 + 8t + -5t = 5t + -5t Combine like terms: 8t + -5t = 3t -12 + 3t = 5t + -5t Combine like terms: 5t + -5t = 0 -12 + 3t = 0 Add '12' to each side of the equation. -12 + 12 + 3t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 3t = 0 + 12 3t = 0 + 12 Combine like terms: 0 + 12 = 12 3t = 12 Divide each side by '3'. t = 4 Simplifying t = 4
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