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Simplifying 6 + -5t = 2t + -7 Reorder the terms: 6 + -5t = -7 + 2t Solving 6 + -5t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6 + -5t + -2t = -7 + 2t + -2t Combine like terms: -5t + -2t = -7t 6 + -7t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + -7t = -7 + 0 6 + -7t = -7 Add '-6' to each side of the equation. 6 + -6 + -7t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -7t = -7 + -6 -7t = -7 + -6 Combine like terms: -7 + -6 = -13 -7t = -13 Divide each side by '-7'. t = 1.857142857 Simplifying t = 1.857142857
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