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Simplifying -5(t + -1) + 7t = 6t + -5 Reorder the terms: -5(-1 + t) + 7t = 6t + -5 (-1 * -5 + t * -5) + 7t = 6t + -5 (5 + -5t) + 7t = 6t + -5 Combine like terms: -5t + 7t = 2t 5 + 2t = 6t + -5 Reorder the terms: 5 + 2t = -5 + 6t Solving 5 + 2t = -5 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 5 + 2t + -6t = -5 + 6t + -6t Combine like terms: 2t + -6t = -4t 5 + -4t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 5 + -4t = -5 + 0 5 + -4t = -5 Add '-5' to each side of the equation. 5 + -5 + -4t = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -4t = -5 + -5 -4t = -5 + -5 Combine like terms: -5 + -5 = -10 -4t = -10 Divide each side by '-4'. t = 2.5 Simplifying t = 2.5
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