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Simplifying -2(t + -2) + 4t = 9t + -9 Reorder the terms: -2(-2 + t) + 4t = 9t + -9 (-2 * -2 + t * -2) + 4t = 9t + -9 (4 + -2t) + 4t = 9t + -9 Combine like terms: -2t + 4t = 2t 4 + 2t = 9t + -9 Reorder the terms: 4 + 2t = -9 + 9t Solving 4 + 2t = -9 + 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. 4 + 2t + -9t = -9 + 9t + -9t Combine like terms: 2t + -9t = -7t 4 + -7t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 4 + -7t = -9 + 0 4 + -7t = -9 Add '-4' to each side of the equation. 4 + -4 + -7t = -9 + -4 Combine like terms: 4 + -4 = 0 0 + -7t = -9 + -4 -7t = -9 + -4 Combine like terms: -9 + -4 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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