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Simplifying 7 + 3t + -1 = 8t + 24 + -2t Reorder the terms: 7 + -1 + 3t = 8t + 24 + -2t Combine like terms: 7 + -1 = 6 6 + 3t = 8t + 24 + -2t Reorder the terms: 6 + 3t = 24 + 8t + -2t Combine like terms: 8t + -2t = 6t 6 + 3t = 24 + 6t Solving 6 + 3t = 24 + 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. 6 + 3t + -6t = 24 + 6t + -6t Combine like terms: 3t + -6t = -3t 6 + -3t = 24 + 6t + -6t Combine like terms: 6t + -6t = 0 6 + -3t = 24 + 0 6 + -3t = 24 Add '-6' to each side of the equation. 6 + -6 + -3t = 24 + -6 Combine like terms: 6 + -6 = 0 0 + -3t = 24 + -6 -3t = 24 + -6 Combine like terms: 24 + -6 = 18 -3t = 18 Divide each side by '-3'. t = -6 Simplifying t = -6
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