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Simplifying t + 7 = 52 + -4t Reorder the terms: 7 + t = 52 + -4t Solving 7 + t = 52 + -4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '4t' to each side of the equation. 7 + t + 4t = 52 + -4t + 4t Combine like terms: t + 4t = 5t 7 + 5t = 52 + -4t + 4t Combine like terms: -4t + 4t = 0 7 + 5t = 52 + 0 7 + 5t = 52 Add '-7' to each side of the equation. 7 + -7 + 5t = 52 + -7 Combine like terms: 7 + -7 = 0 0 + 5t = 52 + -7 5t = 52 + -7 Combine like terms: 52 + -7 = 45 5t = 45 Divide each side by '5'. t = 9 Simplifying t = 9
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