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Simplifying 13 = 8 + -2(4t + -1) Reorder the terms: 13 = 8 + -2(-1 + 4t) 13 = 8 + (-1 * -2 + 4t * -2) 13 = 8 + (2 + -8t) Combine like terms: 8 + 2 = 10 13 = 10 + -8t Solving 13 = 10 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 13 + 8t = 10 + -8t + 8t Combine like terms: -8t + 8t = 0 13 + 8t = 10 + 0 13 + 8t = 10 Add '-13' to each side of the equation. 13 + -13 + 8t = 10 + -13 Combine like terms: 13 + -13 = 0 0 + 8t = 10 + -13 8t = 10 + -13 Combine like terms: 10 + -13 = -3 8t = -3 Divide each side by '8'. t = -0.375 Simplifying t = -0.375
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