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Simplifying 500t + 700(t + 1) = 2100 Reorder the terms: 500t + 700(1 + t) = 2100 500t + (1 * 700 + t * 700) = 2100 500t + (700 + 700t) = 2100 Reorder the terms: 700 + 500t + 700t = 2100 Combine like terms: 500t + 700t = 1200t 700 + 1200t = 2100 Solving 700 + 1200t = 2100 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-700' to each side of the equation. 700 + -700 + 1200t = 2100 + -700 Combine like terms: 700 + -700 = 0 0 + 1200t = 2100 + -700 1200t = 2100 + -700 Combine like terms: 2100 + -700 = 1400 1200t = 1400 Divide each side by '1200'. t = 1.166666667 Simplifying t = 1.166666667
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