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Simplifying 5t + 6 = 8t + -7 Reorder the terms: 6 + 5t = 8t + -7 Reorder the terms: 6 + 5t = -7 + 8t Solving 6 + 5t = -7 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + 5t + -8t = -7 + 8t + -8t Combine like terms: 5t + -8t = -3t 6 + -3t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -3t = -7 + 0 6 + -3t = -7 Add '-6' to each side of the equation. 6 + -6 + -3t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = -7 + -6 -3t = -7 + -6 Combine like terms: -7 + -6 = -13 -3t = -13 Divide each side by '-3'. t = 4.333333333 Simplifying t = 4.333333333
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