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Simplifying -2(t + -4) + 8t = 3t + -8 Reorder the terms: -2(-4 + t) + 8t = 3t + -8 (-4 * -2 + t * -2) + 8t = 3t + -8 (8 + -2t) + 8t = 3t + -8 Combine like terms: -2t + 8t = 6t 8 + 6t = 3t + -8 Reorder the terms: 8 + 6t = -8 + 3t Solving 8 + 6t = -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. 8 + 6t + -3t = -8 + 3t + -3t Combine like terms: 6t + -3t = 3t 8 + 3t = -8 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 3t = -8 + 0 8 + 3t = -8 Add '-8' to each side of the equation. 8 + -8 + 3t = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 3t = -8 + -8 3t = -8 + -8 Combine like terms: -8 + -8 = -16 3t = -16 Divide each side by '3'. t = -5.333333333 Simplifying t = -5.333333333
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