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Simplifying 7t + 8 = 3t + -12 Reorder the terms: 8 + 7t = 3t + -12 Reorder the terms: 8 + 7t = -12 + 3t Solving 8 + 7t = -12 + 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. 8 + 7t + -3t = -12 + 3t + -3t Combine like terms: 7t + -3t = 4t 8 + 4t = -12 + 3t + -3t Combine like terms: 3t + -3t = 0 8 + 4t = -12 + 0 8 + 4t = -12 Add '-8' to each side of the equation. 8 + -8 + 4t = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 4t = -12 + -8 4t = -12 + -8 Combine like terms: -12 + -8 = -20 4t = -20 Divide each side by '4'. t = -5 Simplifying t = -5
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