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Simplifying 5t + 1.6 = 5.8t + -4.64 Reorder the terms: 1.6 + 5t = 5.8t + -4.64 Reorder the terms: 1.6 + 5t = -4.64 + 5.8t Solving 1.6 + 5t = -4.64 + 5.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.8t' to each side of the equation. 1.6 + 5t + -5.8t = -4.64 + 5.8t + -5.8t Combine like terms: 5t + -5.8t = -0.8t 1.6 + -0.8t = -4.64 + 5.8t + -5.8t Combine like terms: 5.8t + -5.8t = 0.0 1.6 + -0.8t = -4.64 + 0.0 1.6 + -0.8t = -4.64 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.8t = -4.64 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.8t = -4.64 + -1.6 -0.8t = -4.64 + -1.6 Combine like terms: -4.64 + -1.6 = -6.24 -0.8t = -6.24 Divide each side by '-0.8'. t = 7.8 Simplifying t = 7.8
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