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Simplifying 3(2t + -3) = 18 + -3t Reorder the terms: 3(-3 + 2t) = 18 + -3t (-3 * 3 + 2t * 3) = 18 + -3t (-9 + 6t) = 18 + -3t Solving -9 + 6t = 18 + -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. -9 + 6t + 3t = 18 + -3t + 3t Combine like terms: 6t + 3t = 9t -9 + 9t = 18 + -3t + 3t Combine like terms: -3t + 3t = 0 -9 + 9t = 18 + 0 -9 + 9t = 18 Add '9' to each side of the equation. -9 + 9 + 9t = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9t = 18 + 9 9t = 18 + 9 Combine like terms: 18 + 9 = 27 9t = 27 Divide each side by '9'. t = 3 Simplifying t = 3
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