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Simplifying -3(t + -1) + 6t = 5t + -8 Reorder the terms: -3(-1 + t) + 6t = 5t + -8 (-1 * -3 + t * -3) + 6t = 5t + -8 (3 + -3t) + 6t = 5t + -8 Combine like terms: -3t + 6t = 3t 3 + 3t = 5t + -8 Reorder the terms: 3 + 3t = -8 + 5t Solving 3 + 3t = -8 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 3 + 3t + -5t = -8 + 5t + -5t Combine like terms: 3t + -5t = -2t 3 + -2t = -8 + 5t + -5t Combine like terms: 5t + -5t = 0 3 + -2t = -8 + 0 3 + -2t = -8 Add '-3' to each side of the equation. 3 + -3 + -2t = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = -8 + -3 -2t = -8 + -3 Combine like terms: -8 + -3 = -11 -2t = -11 Divide each side by '-2'. t = 5.5 Simplifying t = 5.5
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