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Simplifying 4t + -8 = 2(1t + 2) Reorder the terms: -8 + 4t = 2(1t + 2) Reorder the terms: -8 + 4t = 2(2 + 1t) -8 + 4t = (2 * 2 + 1t * 2) -8 + 4t = (4 + 2t) Solving -8 + 4t = 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. -8 + 4t + -2t = 4 + 2t + -2t Combine like terms: 4t + -2t = 2t -8 + 2t = 4 + 2t + -2t Combine like terms: 2t + -2t = 0 -8 + 2t = 4 + 0 -8 + 2t = 4 Add '8' to each side of the equation. -8 + 8 + 2t = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 2t = 4 + 8 2t = 4 + 8 Combine like terms: 4 + 8 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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