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Simplifying -5(t + -1) + 8t = 5t + -5 Reorder the terms: -5(-1 + t) + 8t = 5t + -5 (-1 * -5 + t * -5) + 8t = 5t + -5 (5 + -5t) + 8t = 5t + -5 Combine like terms: -5t + 8t = 3t 5 + 3t = 5t + -5 Reorder the terms: 5 + 3t = -5 + 5t Solving 5 + 3t = -5 + 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. 5 + 3t + -5t = -5 + 5t + -5t Combine like terms: 3t + -5t = -2t 5 + -2t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 5 + -2t = -5 + 0 5 + -2t = -5 Add '-5' to each side of the equation. 5 + -5 + -2t = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -2t = -5 + -5 -2t = -5 + -5 Combine like terms: -5 + -5 = -10 -2t = -10 Divide each side by '-2'. t = 5 Simplifying t = 5
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