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Simplifying -2(t + -3) + 8t = 3t + -4 Reorder the terms: -2(-3 + t) + 8t = 3t + -4 (-3 * -2 + t * -2) + 8t = 3t + -4 (6 + -2t) + 8t = 3t + -4 Combine like terms: -2t + 8t = 6t 6 + 6t = 3t + -4 Reorder the terms: 6 + 6t = -4 + 3t Solving 6 + 6t = -4 + 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 + 6t + -3t = -4 + 3t + -3t Combine like terms: 6t + -3t = 3t 6 + 3t = -4 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 3t = -4 + 0 6 + 3t = -4 Add '-6' to each side of the equation. 6 + -6 + 3t = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = -4 + -6 3t = -4 + -6 Combine like terms: -4 + -6 = -10 3t = -10 Divide each side by '3'. t = -3.333333333 Simplifying t = -3.333333333
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