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Simplifying 0.4 = 0.9 + 3t Solving 0.4 = 0.9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 0.4 + -3t = 0.9 + 3t + -3t Combine like terms: 3t + -3t = 0 0.4 + -3t = 0.9 + 0 0.4 + -3t = 0.9 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -3t = 0.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -3t = 0.9 + -0.4 -3t = 0.9 + -0.4 Combine like terms: 0.9 + -0.4 = 0.5 -3t = 0.5 Divide each side by '-3'. t = -0.1666666667 Simplifying t = -0.1666666667
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