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Simplifying -2(t + -1) + 5t = 9t + -6 Reorder the terms: -2(-1 + t) + 5t = 9t + -6 (-1 * -2 + t * -2) + 5t = 9t + -6 (2 + -2t) + 5t = 9t + -6 Combine like terms: -2t + 5t = 3t 2 + 3t = 9t + -6 Reorder the terms: 2 + 3t = -6 + 9t Solving 2 + 3t = -6 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 2 + 3t + -9t = -6 + 9t + -9t Combine like terms: 3t + -9t = -6t 2 + -6t = -6 + 9t + -9t Combine like terms: 9t + -9t = 0 2 + -6t = -6 + 0 2 + -6t = -6 Add '-2' to each side of the equation. 2 + -2 + -6t = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -6t = -6 + -2 -6t = -6 + -2 Combine like terms: -6 + -2 = -8 -6t = -8 Divide each side by '-6'. t = 1.333333333 Simplifying t = 1.333333333
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