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Simplifying 7t + 6 = 3t + -14 Reorder the terms: 6 + 7t = 3t + -14 Reorder the terms: 6 + 7t = -14 + 3t Solving 6 + 7t = -14 + 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 + 7t + -3t = -14 + 3t + -3t Combine like terms: 7t + -3t = 4t 6 + 4t = -14 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 4t = -14 + 0 6 + 4t = -14 Add '-6' to each side of the equation. 6 + -6 + 4t = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 4t = -14 + -6 4t = -14 + -6 Combine like terms: -14 + -6 = -20 4t = -20 Divide each side by '4'. t = -5 Simplifying t = -5
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