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Simplifying 5t + 6 = 3t + -7 Reorder the terms: 6 + 5t = 3t + -7 Reorder the terms: 6 + 5t = -7 + 3t Solving 6 + 5t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 6 + 5t + -3t = -7 + 3t + -3t Combine like terms: 5t + -3t = 2t 6 + 2t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 2t = -7 + 0 6 + 2t = -7 Add '-6' to each side of the equation. 6 + -6 + 2t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = -7 + -6 2t = -7 + -6 Combine like terms: -7 + -6 = -13 2t = -13 Divide each side by '2'. t = -6.5 Simplifying t = -6.5
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