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Simplifying 3(t + 6) + -2(-9t + -5) = 20(t + 2) + 4 Reorder the terms: 3(6 + t) + -2(-9t + -5) = 20(t + 2) + 4 (6 * 3 + t * 3) + -2(-9t + -5) = 20(t + 2) + 4 (18 + 3t) + -2(-9t + -5) = 20(t + 2) + 4 Reorder the terms: 18 + 3t + -2(-5 + -9t) = 20(t + 2) + 4 18 + 3t + (-5 * -2 + -9t * -2) = 20(t + 2) + 4 18 + 3t + (10 + 18t) = 20(t + 2) + 4 Reorder the terms: 18 + 10 + 3t + 18t = 20(t + 2) + 4 Combine like terms: 18 + 10 = 28 28 + 3t + 18t = 20(t + 2) + 4 Combine like terms: 3t + 18t = 21t 28 + 21t = 20(t + 2) + 4 Reorder the terms: 28 + 21t = 20(2 + t) + 4 28 + 21t = (2 * 20 + t * 20) + 4 28 + 21t = (40 + 20t) + 4 Reorder the terms: 28 + 21t = 40 + 4 + 20t Combine like terms: 40 + 4 = 44 28 + 21t = 44 + 20t Solving 28 + 21t = 44 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 28 + 21t + -20t = 44 + 20t + -20t Combine like terms: 21t + -20t = 1t 28 + 1t = 44 + 20t + -20t Combine like terms: 20t + -20t = 0 28 + 1t = 44 + 0 28 + 1t = 44 Add '-28' to each side of the equation. 28 + -28 + 1t = 44 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 44 + -28 1t = 44 + -28 Combine like terms: 44 + -28 = 16 1t = 16 Divide each side by '1'. t = 16 Simplifying t = 16
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