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Simplifying 1000 = 200 + 5(t + -70) Reorder the terms: 1000 = 200 + 5(-70 + t) 1000 = 200 + (-70 * 5 + t * 5) 1000 = 200 + (-350 + 5t) Combine like terms: 200 + -350 = -150 1000 = -150 + 5t Solving 1000 = -150 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1000 + -5t = -150 + 5t + -5t Combine like terms: 5t + -5t = 0 1000 + -5t = -150 + 0 1000 + -5t = -150 Add '-1000' to each side of the equation. 1000 + -1000 + -5t = -150 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -5t = -150 + -1000 -5t = -150 + -1000 Combine like terms: -150 + -1000 = -1150 -5t = -1150 Divide each side by '-5'. t = 230 Simplifying t = 230
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