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Simplifying t + 71 = -4t + 76 Reorder the terms: 71 + t = -4t + 76 Reorder the terms: 71 + t = 76 + -4t Solving 71 + t = 76 + -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. 71 + t + 4t = 76 + -4t + 4t Combine like terms: t + 4t = 5t 71 + 5t = 76 + -4t + 4t Combine like terms: -4t + 4t = 0 71 + 5t = 76 + 0 71 + 5t = 76 Add '-71' to each side of the equation. 71 + -71 + 5t = 76 + -71 Combine like terms: 71 + -71 = 0 0 + 5t = 76 + -71 5t = 76 + -71 Combine like terms: 76 + -71 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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