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Simplifying -3(t + -1) + 6t = 8t + -5 Reorder the terms: -3(-1 + t) + 6t = 8t + -5 (-1 * -3 + t * -3) + 6t = 8t + -5 (3 + -3t) + 6t = 8t + -5 Combine like terms: -3t + 6t = 3t 3 + 3t = 8t + -5 Reorder the terms: 3 + 3t = -5 + 8t Solving 3 + 3t = -5 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 3 + 3t + -8t = -5 + 8t + -8t Combine like terms: 3t + -8t = -5t 3 + -5t = -5 + 8t + -8t Combine like terms: 8t + -8t = 0 3 + -5t = -5 + 0 3 + -5t = -5 Add '-3' to each side of the equation. 3 + -3 + -5t = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -5t = -5 + -3 -5t = -5 + -3 Combine like terms: -5 + -3 = -8 -5t = -8 Divide each side by '-5'. t = 1.6 Simplifying t = 1.6
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