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Simplifying -2(t + -3) + 7t = 3t + -8 Reorder the terms: -2(-3 + t) + 7t = 3t + -8 (-3 * -2 + t * -2) + 7t = 3t + -8 (6 + -2t) + 7t = 3t + -8 Combine like terms: -2t + 7t = 5t 6 + 5t = 3t + -8 Reorder the terms: 6 + 5t = -8 + 3t Solving 6 + 5t = -8 + 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 + 5t + -3t = -8 + 3t + -3t Combine like terms: 5t + -3t = 2t 6 + 2t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 2t = -8 + 0 6 + 2t = -8 Add '-6' to each side of the equation. 6 + -6 + 2t = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = -8 + -6 2t = -8 + -6 Combine like terms: -8 + -6 = -14 2t = -14 Divide each side by '2'. t = -7 Simplifying t = -7
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