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Simplifying -5(t + -2) + 8t = 9t + -3 Reorder the terms: -5(-2 + t) + 8t = 9t + -3 (-2 * -5 + t * -5) + 8t = 9t + -3 (10 + -5t) + 8t = 9t + -3 Combine like terms: -5t + 8t = 3t 10 + 3t = 9t + -3 Reorder the terms: 10 + 3t = -3 + 9t Solving 10 + 3t = -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. 10 + 3t + -9t = -3 + 9t + -9t Combine like terms: 3t + -9t = -6t 10 + -6t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 10 + -6t = -3 + 0 10 + -6t = -3 Add '-10' to each side of the equation. 10 + -10 + -6t = -3 + -10 Combine like terms: 10 + -10 = 0 0 + -6t = -3 + -10 -6t = -3 + -10 Combine like terms: -3 + -10 = -13 -6t = -13 Divide each side by '-6'. t = 2.166666667 Simplifying t = 2.166666667
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