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Simplifying -3(t + -3) + 7t = 9t + -8 Reorder the terms: -3(-3 + t) + 7t = 9t + -8 (-3 * -3 + t * -3) + 7t = 9t + -8 (9 + -3t) + 7t = 9t + -8 Combine like terms: -3t + 7t = 4t 9 + 4t = 9t + -8 Reorder the terms: 9 + 4t = -8 + 9t Solving 9 + 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. 9 + 4t + -9t = -8 + 9t + -9t Combine like terms: 4t + -9t = -5t 9 + -5t = -8 + 9t + -9t Combine like terms: 9t + -9t = 0 9 + -5t = -8 + 0 9 + -5t = -8 Add '-9' to each side of the equation. 9 + -9 + -5t = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -5t = -8 + -9 -5t = -8 + -9 Combine like terms: -8 + -9 = -17 -5t = -17 Divide each side by '-5'. t = 3.4 Simplifying t = 3.4
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