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Simplifying 2(10t + -8) = 2(9t + 3) Reorder the terms: 2(-8 + 10t) = 2(9t + 3) (-8 * 2 + 10t * 2) = 2(9t + 3) (-16 + 20t) = 2(9t + 3) Reorder the terms: -16 + 20t = 2(3 + 9t) -16 + 20t = (3 * 2 + 9t * 2) -16 + 20t = (6 + 18t) Solving -16 + 20t = 6 + 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. -16 + 20t + -18t = 6 + 18t + -18t Combine like terms: 20t + -18t = 2t -16 + 2t = 6 + 18t + -18t Combine like terms: 18t + -18t = 0 -16 + 2t = 6 + 0 -16 + 2t = 6 Add '16' to each side of the equation. -16 + 16 + 2t = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 2t = 6 + 16 2t = 6 + 16 Combine like terms: 6 + 16 = 22 2t = 22 Divide each side by '2'. t = 11 Simplifying t = 11
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