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Simplifying -3(t + -2) + 8t = 9t + -4 Reorder the terms: -3(-2 + t) + 8t = 9t + -4 (-2 * -3 + t * -3) + 8t = 9t + -4 (6 + -3t) + 8t = 9t + -4 Combine like terms: -3t + 8t = 5t 6 + 5t = 9t + -4 Reorder the terms: 6 + 5t = -4 + 9t Solving 6 + 5t = -4 + 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 + 5t + -9t = -4 + 9t + -9t Combine like terms: 5t + -9t = -4t 6 + -4t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -4t = -4 + 0 6 + -4t = -4 Add '-6' to each side of the equation. 6 + -6 + -4t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -4t = -4 + -6 -4t = -4 + -6 Combine like terms: -4 + -6 = -10 -4t = -10 Divide each side by '-4'. t = 2.5 Simplifying t = 2.5
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