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Simplifying 5.3 + t = 3.2t + -2.7 Reorder the terms: 5.3 + t = -2.7 + 3.2t Solving 5.3 + t = -2.7 + 3.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2t' to each side of the equation. 5.3 + t + -3.2t = -2.7 + 3.2t + -3.2t Combine like terms: t + -3.2t = -2.2t 5.3 + -2.2t = -2.7 + 3.2t + -3.2t Combine like terms: 3.2t + -3.2t = 0.0 5.3 + -2.2t = -2.7 + 0.0 5.3 + -2.2t = -2.7 Add '-5.3' to each side of the equation. 5.3 + -5.3 + -2.2t = -2.7 + -5.3 Combine like terms: 5.3 + -5.3 = 0.0 0.0 + -2.2t = -2.7 + -5.3 -2.2t = -2.7 + -5.3 Combine like terms: -2.7 + -5.3 = -8 -2.2t = -8 Divide each side by '-2.2'. t = 3.636363636 Simplifying t = 3.636363636
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