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Simplifying 7t + 12 = 3t + 16 Reorder the terms: 12 + 7t = 3t + 16 Reorder the terms: 12 + 7t = 16 + 3t Solving 12 + 7t = 16 + 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. 12 + 7t + -3t = 16 + 3t + -3t Combine like terms: 7t + -3t = 4t 12 + 4t = 16 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + 4t = 16 + 0 12 + 4t = 16 Add '-12' to each side of the equation. 12 + -12 + 4t = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 4t = 16 + -12 4t = 16 + -12 Combine like terms: 16 + -12 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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