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Simplifying -2(t + -1) + 4t = 9t + -4 Reorder the terms: -2(-1 + t) + 4t = 9t + -4 (-1 * -2 + t * -2) + 4t = 9t + -4 (2 + -2t) + 4t = 9t + -4 Combine like terms: -2t + 4t = 2t 2 + 2t = 9t + -4 Reorder the terms: 2 + 2t = -4 + 9t Solving 2 + 2t = -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. 2 + 2t + -9t = -4 + 9t + -9t Combine like terms: 2t + -9t = -7t 2 + -7t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 2 + -7t = -4 + 0 2 + -7t = -4 Add '-2' to each side of the equation. 2 + -2 + -7t = -4 + -2 Combine like terms: 2 + -2 = 0 0 + -7t = -4 + -2 -7t = -4 + -2 Combine like terms: -4 + -2 = -6 -7t = -6 Divide each side by '-7'. t = 0.8571428571 Simplifying t = 0.8571428571
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