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Simplifying -4t + -4(6 + -6t) = 4 + 2t -4t + (6 * -4 + -6t * -4) = 4 + 2t -4t + (-24 + 24t) = 4 + 2t Reorder the terms: -24 + -4t + 24t = 4 + 2t Combine like terms: -4t + 24t = 20t -24 + 20t = 4 + 2t Solving -24 + 20t = 4 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -24 + 20t + -2t = 4 + 2t + -2t Combine like terms: 20t + -2t = 18t -24 + 18t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 -24 + 18t = 4 + 0 -24 + 18t = 4 Add '24' to each side of the equation. -24 + 24 + 18t = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 18t = 4 + 24 18t = 4 + 24 Combine like terms: 4 + 24 = 28 18t = 28 Divide each side by '18'. t = 1.555555556 Simplifying t = 1.555555556
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