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Simplifying -3(2t + -3) + 2t = 4t + -2 Reorder the terms: -3(-3 + 2t) + 2t = 4t + -2 (-3 * -3 + 2t * -3) + 2t = 4t + -2 (9 + -6t) + 2t = 4t + -2 Combine like terms: -6t + 2t = -4t 9 + -4t = 4t + -2 Reorder the terms: 9 + -4t = -2 + 4t Solving 9 + -4t = -2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9 + -4t + -4t = -2 + 4t + -4t Combine like terms: -4t + -4t = -8t 9 + -8t = -2 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + -8t = -2 + 0 9 + -8t = -2 Add '-9' to each side of the equation. 9 + -9 + -8t = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -8t = -2 + -9 -8t = -2 + -9 Combine like terms: -2 + -9 = -11 -8t = -11 Divide each side by '-8'. t = 1.375 Simplifying t = 1.375
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