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Simplifying -2(t + -1) + 9t = 5t + -6 Reorder the terms: -2(-1 + t) + 9t = 5t + -6 (-1 * -2 + t * -2) + 9t = 5t + -6 (2 + -2t) + 9t = 5t + -6 Combine like terms: -2t + 9t = 7t 2 + 7t = 5t + -6 Reorder the terms: 2 + 7t = -6 + 5t Solving 2 + 7t = -6 + 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. 2 + 7t + -5t = -6 + 5t + -5t Combine like terms: 7t + -5t = 2t 2 + 2t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + 2t = -6 + 0 2 + 2t = -6 Add '-2' to each side of the equation. 2 + -2 + 2t = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = -6 + -2 2t = -6 + -2 Combine like terms: -6 + -2 = -8 2t = -8 Divide each side by '2'. t = -4 Simplifying t = -4
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