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Simplifying 3(2t + -6) = -2[-2t + -3(-1t + -10)] Reorder the terms: 3(-6 + 2t) = -2[-2t + -3(-1t + -10)] (-6 * 3 + 2t * 3) = -2[-2t + -3(-1t + -10)] (-18 + 6t) = -2[-2t + -3(-1t + -10)] Reorder the terms: -18 + 6t = -2[-2t + -3(-10 + -1t)] -18 + 6t = -2[-2t + (-10 * -3 + -1t * -3)] -18 + 6t = -2[-2t + (30 + 3t)] Reorder the terms: -18 + 6t = -2[30 + -2t + 3t] Combine like terms: -2t + 3t = 1t -18 + 6t = -2[30 + 1t] -18 + 6t = [30 * -2 + 1t * -2] -18 + 6t = [-60 + -2t] Solving -18 + 6t = -60 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -18 + 6t + 2t = -60 + -2t + 2t Combine like terms: 6t + 2t = 8t -18 + 8t = -60 + -2t + 2t Combine like terms: -2t + 2t = 0 -18 + 8t = -60 + 0 -18 + 8t = -60 Add '18' to each side of the equation. -18 + 18 + 8t = -60 + 18 Combine like terms: -18 + 18 = 0 0 + 8t = -60 + 18 8t = -60 + 18 Combine like terms: -60 + 18 = -42 8t = -42 Divide each side by '8'. t = -5.25 Simplifying t = -5.25
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