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Simplifying -3(t + -2) + 7t = 9t + -8 Reorder the terms: -3(-2 + t) + 7t = 9t + -8 (-2 * -3 + t * -3) + 7t = 9t + -8 (6 + -3t) + 7t = 9t + -8 Combine like terms: -3t + 7t = 4t 6 + 4t = 9t + -8 Reorder the terms: 6 + 4t = -8 + 9t Solving 6 + 4t = -8 + 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 + 4t + -9t = -8 + 9t + -9t Combine like terms: 4t + -9t = -5t 6 + -5t = -8 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -5t = -8 + 0 6 + -5t = -8 Add '-6' to each side of the equation. 6 + -6 + -5t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -5t = -8 + -6 -5t = -8 + -6 Combine like terms: -8 + -6 = -14 -5t = -14 Divide each side by '-5'. t = 2.8 Simplifying t = 2.8
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