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Simplifying -2.2t + 3.5 = -5.1t + 6.4 Reorder the terms: 3.5 + -2.2t = -5.1t + 6.4 Reorder the terms: 3.5 + -2.2t = 6.4 + -5.1t Solving 3.5 + -2.2t = 6.4 + -5.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5.1t' to each side of the equation. 3.5 + -2.2t + 5.1t = 6.4 + -5.1t + 5.1t Combine like terms: -2.2t + 5.1t = 2.9t 3.5 + 2.9t = 6.4 + -5.1t + 5.1t Combine like terms: -5.1t + 5.1t = 0.0 3.5 + 2.9t = 6.4 + 0.0 3.5 + 2.9t = 6.4 Add '-3.5' to each side of the equation. 3.5 + -3.5 + 2.9t = 6.4 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 2.9t = 6.4 + -3.5 2.9t = 6.4 + -3.5 Combine like terms: 6.4 + -3.5 = 2.9 2.9t = 2.9 Divide each side by '2.9'. t = 1 Simplifying t = 1
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