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Simplifying 1000 = -275(2t + -7) Reorder the terms: 1000 = -275(-7 + 2t) 1000 = (-7 * -275 + 2t * -275) 1000 = (1925 + -550t) Solving 1000 = 1925 + -550t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '550t' to each side of the equation. 1000 + 550t = 1925 + -550t + 550t Combine like terms: -550t + 550t = 0 1000 + 550t = 1925 + 0 1000 + 550t = 1925 Add '-1000' to each side of the equation. 1000 + -1000 + 550t = 1925 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 550t = 1925 + -1000 550t = 1925 + -1000 Combine like terms: 1925 + -1000 = 925 550t = 925 Divide each side by '550'. t = 1.681818182 Simplifying t = 1.681818182
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