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Simplifying 50(t + 30) = 55t Reorder the terms: 50(30 + t) = 55t (30 * 50 + t * 50) = 55t (1500 + 50t) = 55t Solving 1500 + 50t = 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. 1500 + 50t + -55t = 55t + -55t Combine like terms: 50t + -55t = -5t 1500 + -5t = 55t + -55t Combine like terms: 55t + -55t = 0 1500 + -5t = 0 Add '-1500' to each side of the equation. 1500 + -1500 + -5t = 0 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -5t = 0 + -1500 -5t = 0 + -1500 Combine like terms: 0 + -1500 = -1500 -5t = -1500 Divide each side by '-5'. t = 300 Simplifying t = 300
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