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Simplifying 13t + 100 = 18t + 90 Reorder the terms: 100 + 13t = 18t + 90 Reorder the terms: 100 + 13t = 90 + 18t Solving 100 + 13t = 90 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. 100 + 13t + -18t = 90 + 18t + -18t Combine like terms: 13t + -18t = -5t 100 + -5t = 90 + 18t + -18t Combine like terms: 18t + -18t = 0 100 + -5t = 90 + 0 100 + -5t = 90 Add '-100' to each side of the equation. 100 + -100 + -5t = 90 + -100 Combine like terms: 100 + -100 = 0 0 + -5t = 90 + -100 -5t = 90 + -100 Combine like terms: 90 + -100 = -10 -5t = -10 Divide each side by '-5'. t = 2 Simplifying t = 2
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