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Simplifying 2000 = 200 + 90(t + -70) Reorder the terms: 2000 = 200 + 90(-70 + t) 2000 = 200 + (-70 * 90 + t * 90) 2000 = 200 + (-6300 + 90t) Combine like terms: 200 + -6300 = -6100 2000 = -6100 + 90t Solving 2000 = -6100 + 90t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-90t' to each side of the equation. 2000 + -90t = -6100 + 90t + -90t Combine like terms: 90t + -90t = 0 2000 + -90t = -6100 + 0 2000 + -90t = -6100 Add '-2000' to each side of the equation. 2000 + -2000 + -90t = -6100 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -90t = -6100 + -2000 -90t = -6100 + -2000 Combine like terms: -6100 + -2000 = -8100 -90t = -8100 Divide each side by '-90'. t = 90 Simplifying t = 90
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