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Simplifying -6(-4t + -9) + 4 = -2(-9t + -9) Reorder the terms: -6(-9 + -4t) + 4 = -2(-9t + -9) (-9 * -6 + -4t * -6) + 4 = -2(-9t + -9) (54 + 24t) + 4 = -2(-9t + -9) Reorder the terms: 54 + 4 + 24t = -2(-9t + -9) Combine like terms: 54 + 4 = 58 58 + 24t = -2(-9t + -9) Reorder the terms: 58 + 24t = -2(-9 + -9t) 58 + 24t = (-9 * -2 + -9t * -2) 58 + 24t = (18 + 18t) Solving 58 + 24t = 18 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 58 + 24t + -18t = 18 + 18t + -18t Combine like terms: 24t + -18t = 6t 58 + 6t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 58 + 6t = 18 + 0 58 + 6t = 18 Add '-58' to each side of the equation. 58 + -58 + 6t = 18 + -58 Combine like terms: 58 + -58 = 0 0 + 6t = 18 + -58 6t = 18 + -58 Combine like terms: 18 + -58 = -40 6t = -40 Divide each side by '6'. t = -6.666666667 Simplifying t = -6.666666667
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