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Simplifying 6t + -8 = 2(2t + 1) Reorder the terms: -8 + 6t = 2(2t + 1) Reorder the terms: -8 + 6t = 2(1 + 2t) -8 + 6t = (1 * 2 + 2t * 2) -8 + 6t = (2 + 4t) Solving -8 + 6t = 2 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -8 + 6t + -4t = 2 + 4t + -4t Combine like terms: 6t + -4t = 2t -8 + 2t = 2 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 2t = 2 + 0 -8 + 2t = 2 Add '8' to each side of the equation. -8 + 8 + 2t = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 2 + 8 2t = 2 + 8 Combine like terms: 2 + 8 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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