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Simplifying 8 + -2(t + -1) = 3t + 1 Reorder the terms: 8 + -2(-1 + t) = 3t + 1 8 + (-1 * -2 + t * -2) = 3t + 1 8 + (2 + -2t) = 3t + 1 Combine like terms: 8 + 2 = 10 10 + -2t = 3t + 1 Reorder the terms: 10 + -2t = 1 + 3t Solving 10 + -2t = 1 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10 + -2t + -3t = 1 + 3t + -3t Combine like terms: -2t + -3t = -5t 10 + -5t = 1 + 3t + -3t Combine like terms: 3t + -3t = 0 10 + -5t = 1 + 0 10 + -5t = 1 Add '-10' to each side of the equation. 10 + -10 + -5t = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -5t = 1 + -10 -5t = 1 + -10 Combine like terms: 1 + -10 = -9 -5t = -9 Divide each side by '-5'. t = 1.8 Simplifying t = 1.8
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