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Simplifying -2(t + -2) + 8t = 9t + -2 Reorder the terms: -2(-2 + t) + 8t = 9t + -2 (-2 * -2 + t * -2) + 8t = 9t + -2 (4 + -2t) + 8t = 9t + -2 Combine like terms: -2t + 8t = 6t 4 + 6t = 9t + -2 Reorder the terms: 4 + 6t = -2 + 9t Solving 4 + 6t = -2 + 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. 4 + 6t + -9t = -2 + 9t + -9t Combine like terms: 6t + -9t = -3t 4 + -3t = -2 + 9t + -9t Combine like terms: 9t + -9t = 0 4 + -3t = -2 + 0 4 + -3t = -2 Add '-4' to each side of the equation. 4 + -4 + -3t = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -3t = -2 + -4 -3t = -2 + -4 Combine like terms: -2 + -4 = -6 -3t = -6 Divide each side by '-3'. t = 2 Simplifying t = 2
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