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Simplifying -4(t + -2) + 6t = 8t + -9 Reorder the terms: -4(-2 + t) + 6t = 8t + -9 (-2 * -4 + t * -4) + 6t = 8t + -9 (8 + -4t) + 6t = 8t + -9 Combine like terms: -4t + 6t = 2t 8 + 2t = 8t + -9 Reorder the terms: 8 + 2t = -9 + 8t Solving 8 + 2t = -9 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 8 + 2t + -8t = -9 + 8t + -8t Combine like terms: 2t + -8t = -6t 8 + -6t = -9 + 8t + -8t Combine like terms: 8t + -8t = 0 8 + -6t = -9 + 0 8 + -6t = -9 Add '-8' to each side of the equation. 8 + -8 + -6t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = -9 + -8 -6t = -9 + -8 Combine like terms: -9 + -8 = -17 -6t = -17 Divide each side by '-6'. t = 2.833333333 Simplifying t = 2.833333333
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