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Simplifying -2(t + -3) + 8t = 9t + -3 Reorder the terms: -2(-3 + t) + 8t = 9t + -3 (-3 * -2 + t * -2) + 8t = 9t + -3 (6 + -2t) + 8t = 9t + -3 Combine like terms: -2t + 8t = 6t 6 + 6t = 9t + -3 Reorder the terms: 6 + 6t = -3 + 9t Solving 6 + 6t = -3 + 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 + 6t + -9t = -3 + 9t + -9t Combine like terms: 6t + -9t = -3t 6 + -3t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -3t = -3 + 0 6 + -3t = -3 Add '-6' to each side of the equation. 6 + -6 + -3t = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = -3 + -6 -3t = -3 + -6 Combine like terms: -3 + -6 = -9 -3t = -9 Divide each side by '-3'. t = 3 Simplifying t = 3
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