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Simplifying -2(t + -3) + 9t = 5t + -3 Reorder the terms: -2(-3 + t) + 9t = 5t + -3 (-3 * -2 + t * -2) + 9t = 5t + -3 (6 + -2t) + 9t = 5t + -3 Combine like terms: -2t + 9t = 7t 6 + 7t = 5t + -3 Reorder the terms: 6 + 7t = -3 + 5t Solving 6 + 7t = -3 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 6 + 7t + -5t = -3 + 5t + -5t Combine like terms: 7t + -5t = 2t 6 + 2t = -3 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 2t = -3 + 0 6 + 2t = -3 Add '-6' to each side of the equation. 6 + -6 + 2t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = -3 + -6 2t = -3 + -6 Combine like terms: -3 + -6 = -9 2t = -9 Divide each side by '2'. t = -4.5 Simplifying t = -4.5
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