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Simplifying -5(t + -1) + 8t = 7t + 5 Reorder the terms: -5(-1 + t) + 8t = 7t + 5 (-1 * -5 + t * -5) + 8t = 7t + 5 (5 + -5t) + 8t = 7t + 5 Combine like terms: -5t + 8t = 3t 5 + 3t = 7t + 5 Reorder the terms: 5 + 3t = 5 + 7t Add '-5' to each side of the equation. 5 + -5 + 3t = 5 + -5 + 7t Combine like terms: 5 + -5 = 0 0 + 3t = 5 + -5 + 7t 3t = 5 + -5 + 7t Combine like terms: 5 + -5 = 0 3t = 0 + 7t 3t = 7t Solving 3t = 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 3t + -7t = 7t + -7t Combine like terms: 3t + -7t = -4t -4t = 7t + -7t Combine like terms: 7t + -7t = 0 -4t = 0 Divide each side by '-4'. t = 0 Simplifying t = 0
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