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Simplifying 1000 = 200 + 50(t + -20) Reorder the terms: 1000 = 200 + 50(-20 + t) 1000 = 200 + (-20 * 50 + t * 50) 1000 = 200 + (-1000 + 50t) Combine like terms: 200 + -1000 = -800 1000 = -800 + 50t Solving 1000 = -800 + 50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50t' to each side of the equation. 1000 + -50t = -800 + 50t + -50t Combine like terms: 50t + -50t = 0 1000 + -50t = -800 + 0 1000 + -50t = -800 Add '-1000' to each side of the equation. 1000 + -1000 + -50t = -800 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -50t = -800 + -1000 -50t = -800 + -1000 Combine like terms: -800 + -1000 = -1800 -50t = -1800 Divide each side by '-50'. t = 36 Simplifying t = 36
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