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Simplifying -3(t + -2) + 6t = 9t + -9 Reorder the terms: -3(-2 + t) + 6t = 9t + -9 (-2 * -3 + t * -3) + 6t = 9t + -9 (6 + -3t) + 6t = 9t + -9 Combine like terms: -3t + 6t = 3t 6 + 3t = 9t + -9 Reorder the terms: 6 + 3t = -9 + 9t Solving 6 + 3t = -9 + 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. 6 + 3t + -9t = -9 + 9t + -9t Combine like terms: 3t + -9t = -6t 6 + -6t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -6t = -9 + 0 6 + -6t = -9 Add '-6' to each side of the equation. 6 + -6 + -6t = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = -9 + -6 -6t = -9 + -6 Combine like terms: -9 + -6 = -15 -6t = -15 Divide each side by '-6'. t = 2.5 Simplifying t = 2.5
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