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Simplifying 2t + -3(2t + -3) = 45 Reorder the terms: 2t + -3(-3 + 2t) = 45 2t + (-3 * -3 + 2t * -3) = 45 2t + (9 + -6t) = 45 Reorder the terms: 9 + 2t + -6t = 45 Combine like terms: 2t + -6t = -4t 9 + -4t = 45 Solving 9 + -4t = 45 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4t = 45 + -9 Combine like terms: 9 + -9 = 0 0 + -4t = 45 + -9 -4t = 45 + -9 Combine like terms: 45 + -9 = 36 -4t = 36 Divide each side by '-4'. t = -9 Simplifying t = -9
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