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Simplifying -2(t + -3) + 4t = 9t + -4 Reorder the terms: -2(-3 + t) + 4t = 9t + -4 (-3 * -2 + t * -2) + 4t = 9t + -4 (6 + -2t) + 4t = 9t + -4 Combine like terms: -2t + 4t = 2t 6 + 2t = 9t + -4 Reorder the terms: 6 + 2t = -4 + 9t Solving 6 + 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. 6 + 2t + -9t = -4 + 9t + -9t Combine like terms: 2t + -9t = -7t 6 + -7t = -4 + 9t + -9t Combine like terms: 9t + -9t = 0 6 + -7t = -4 + 0 6 + -7t = -4 Add '-6' to each side of the equation. 6 + -6 + -7t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -4 + -6 -7t = -4 + -6 Combine like terms: -4 + -6 = -10 -7t = -10 Divide each side by '-7'. t = 1.428571429 Simplifying t = 1.428571429
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