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Simplifying 5t + -1.5 = 14.1 + 1.1t Reorder the terms: -1.5 + 5t = 14.1 + 1.1t Solving -1.5 + 5t = 14.1 + 1.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.1t' to each side of the equation. -1.5 + 5t + -1.1t = 14.1 + 1.1t + -1.1t Combine like terms: 5t + -1.1t = 3.9t -1.5 + 3.9t = 14.1 + 1.1t + -1.1t Combine like terms: 1.1t + -1.1t = 0.0 -1.5 + 3.9t = 14.1 + 0.0 -1.5 + 3.9t = 14.1 Add '1.5' to each side of the equation. -1.5 + 1.5 + 3.9t = 14.1 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 3.9t = 14.1 + 1.5 3.9t = 14.1 + 1.5 Combine like terms: 14.1 + 1.5 = 15.6 3.9t = 15.6 Divide each side by '3.9'. t = 4 Simplifying t = 4
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