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Simplifying 4(2t + 3) + -2 = 3t Reorder the terms: 4(3 + 2t) + -2 = 3t (3 * 4 + 2t * 4) + -2 = 3t (12 + 8t) + -2 = 3t Reorder the terms: 12 + -2 + 8t = 3t Combine like terms: 12 + -2 = 10 10 + 8t = 3t Solving 10 + 8t = 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. 10 + 8t + -3t = 3t + -3t Combine like terms: 8t + -3t = 5t 10 + 5t = 3t + -3t Combine like terms: 3t + -3t = 0 10 + 5t = 0 Add '-10' to each side of the equation. 10 + -10 + 5t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5t = 0 + -10 5t = 0 + -10 Combine like terms: 0 + -10 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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