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Simplifying 0.76 + 0.46t = 4.31t + -0.78 Reorder the terms: 0.76 + 0.46t = -0.78 + 4.31t Solving 0.76 + 0.46t = -0.78 + 4.31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.31t' to each side of the equation. 0.76 + 0.46t + -4.31t = -0.78 + 4.31t + -4.31t Combine like terms: 0.46t + -4.31t = -3.85t 0.76 + -3.85t = -0.78 + 4.31t + -4.31t Combine like terms: 4.31t + -4.31t = 0.00 0.76 + -3.85t = -0.78 + 0.00 0.76 + -3.85t = -0.78 Add '-0.76' to each side of the equation. 0.76 + -0.76 + -3.85t = -0.78 + -0.76 Combine like terms: 0.76 + -0.76 = 0.00 0.00 + -3.85t = -0.78 + -0.76 -3.85t = -0.78 + -0.76 Combine like terms: -0.78 + -0.76 = -1.54 -3.85t = -1.54 Divide each side by '-3.85'. t = 0.4 Simplifying t = 0.4
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