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Simplifying 2t + 8 + -1(-5t + 2) = 12 + 3t Reorder the terms: 2t + 8 + -1(2 + -5t) = 12 + 3t 2t + 8 + (2 * -1 + -5t * -1) = 12 + 3t 2t + 8 + (-2 + 5t) = 12 + 3t Reorder the terms: 8 + -2 + 2t + 5t = 12 + 3t Combine like terms: 8 + -2 = 6 6 + 2t + 5t = 12 + 3t Combine like terms: 2t + 5t = 7t 6 + 7t = 12 + 3t Solving 6 + 7t = 12 + 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. 6 + 7t + -3t = 12 + 3t + -3t Combine like terms: 7t + -3t = 4t 6 + 4t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 4t = 12 + 0 6 + 4t = 12 Add '-6' to each side of the equation. 6 + -6 + 4t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 4t = 12 + -6 4t = 12 + -6 Combine like terms: 12 + -6 = 6 4t = 6 Divide each side by '4'. t = 1.5 Simplifying t = 1.5
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