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Simplifying 45 + -1t + -18t = 60 + t + 30 Combine like terms: -1t + -18t = -19t 45 + -19t = 60 + t + 30 Reorder the terms: 45 + -19t = 60 + 30 + t Combine like terms: 60 + 30 = 90 45 + -19t = 90 + t Solving 45 + -19t = 90 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 45 + -19t + -1t = 90 + t + -1t Combine like terms: -19t + -1t = -20t 45 + -20t = 90 + t + -1t Combine like terms: t + -1t = 0 45 + -20t = 90 + 0 45 + -20t = 90 Add '-45' to each side of the equation. 45 + -45 + -20t = 90 + -45 Combine like terms: 45 + -45 = 0 0 + -20t = 90 + -45 -20t = 90 + -45 Combine like terms: 90 + -45 = 45 -20t = 45 Divide each side by '-20'. t = -2.25 Simplifying t = -2.25
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