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Simplifying 1200 = 18(5t + -1.5) Reorder the terms: 1200 = 18(-1.5 + 5t) 1200 = (-1.5 * 18 + 5t * 18) 1200 = (-27 + 90t) Solving 1200 = -27 + 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. 1200 + -90t = -27 + 90t + -90t Combine like terms: 90t + -90t = 0 1200 + -90t = -27 + 0 1200 + -90t = -27 Add '-1200' to each side of the equation. 1200 + -1200 + -90t = -27 + -1200 Combine like terms: 1200 + -1200 = 0 0 + -90t = -27 + -1200 -90t = -27 + -1200 Combine like terms: -27 + -1200 = -1227 -90t = -1227 Divide each side by '-90'. t = 13.63333333 Simplifying t = 13.63333333
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