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Simplifying 12 + 5(t + 1) = 37 Reorder the terms: 12 + 5(1 + t) = 37 12 + (1 * 5 + t * 5) = 37 12 + (5 + 5t) = 37 Combine like terms: 12 + 5 = 17 17 + 5t = 37 Solving 17 + 5t = 37 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5t = 37 + -17 Combine like terms: 17 + -17 = 0 0 + 5t = 37 + -17 5t = 37 + -17 Combine like terms: 37 + -17 = 20 5t = 20 Divide each side by '5'. t = 4 Simplifying t = 4
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