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Simplifying 0.58 + 0.38t = 3.78t + -0.78 Reorder the terms: 0.58 + 0.38t = -0.78 + 3.78t Solving 0.58 + 0.38t = -0.78 + 3.78t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.78t' to each side of the equation. 0.58 + 0.38t + -3.78t = -0.78 + 3.78t + -3.78t Combine like terms: 0.38t + -3.78t = -3.4t 0.58 + -3.4t = -0.78 + 3.78t + -3.78t Combine like terms: 3.78t + -3.78t = 0.00 0.58 + -3.4t = -0.78 + 0.00 0.58 + -3.4t = -0.78 Add '-0.58' to each side of the equation. 0.58 + -0.58 + -3.4t = -0.78 + -0.58 Combine like terms: 0.58 + -0.58 = 0.00 0.00 + -3.4t = -0.78 + -0.58 -3.4t = -0.78 + -0.58 Combine like terms: -0.78 + -0.58 = -1.36 -3.4t = -1.36 Divide each side by '-3.4'. t = 0.4 Simplifying t = 0.4
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