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Simplifying -2t + 7 = 5t + -6 Reorder the terms: 7 + -2t = 5t + -6 Reorder the terms: 7 + -2t = -6 + 5t Solving 7 + -2t = -6 + 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. 7 + -2t + -5t = -6 + 5t + -5t Combine like terms: -2t + -5t = -7t 7 + -7t = -6 + 5t + -5t Combine like terms: 5t + -5t = 0 7 + -7t = -6 + 0 7 + -7t = -6 Add '-7' to each side of the equation. 7 + -7 + -7t = -6 + -7 Combine like terms: 7 + -7 = 0 0 + -7t = -6 + -7 -7t = -6 + -7 Combine like terms: -6 + -7 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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