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Simplifying 4t + 2 = 8t + -1(6t + -10) Reorder the terms: 2 + 4t = 8t + -1(6t + -10) Reorder the terms: 2 + 4t = 8t + -1(-10 + 6t) 2 + 4t = 8t + (-10 * -1 + 6t * -1) 2 + 4t = 8t + (10 + -6t) Reorder the terms: 2 + 4t = 10 + 8t + -6t Combine like terms: 8t + -6t = 2t 2 + 4t = 10 + 2t Solving 2 + 4t = 10 + 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. 2 + 4t + -2t = 10 + 2t + -2t Combine like terms: 4t + -2t = 2t 2 + 2t = 10 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 2t = 10 + 0 2 + 2t = 10 Add '-2' to each side of the equation. 2 + -2 + 2t = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 10 + -2 2t = 10 + -2 Combine like terms: 10 + -2 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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