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Simplifying 7t + 7 = 3t + 47 Reorder the terms: 7 + 7t = 3t + 47 Reorder the terms: 7 + 7t = 47 + 3t Solving 7 + 7t = 47 + 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. 7 + 7t + -3t = 47 + 3t + -3t Combine like terms: 7t + -3t = 4t 7 + 4t = 47 + 3t + -3t Combine like terms: 3t + -3t = 0 7 + 4t = 47 + 0 7 + 4t = 47 Add '-7' to each side of the equation. 7 + -7 + 4t = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4t = 47 + -7 4t = 47 + -7 Combine like terms: 47 + -7 = 40 4t = 40 Divide each side by '4'. t = 10 Simplifying t = 10
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