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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 = 2800 1200t = 2800 Divide each side by '1200'. t = 2.333333333 Simplifying t = 2.333333333
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