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Simplifying 0.6t + 0.4(t + -0.1) = 3.67 Reorder the terms: 0.6t + 0.4(-0.1 + t) = 3.67 0.6t + (-0.1 * 0.4 + t * 0.4) = 3.67 0.6t + (-0.04 + 0.4t) = 3.67 Reorder the terms: -0.04 + 0.6t + 0.4t = 3.67 Combine like terms: 0.6t + 0.4t = 1t -0.04 + 1t = 3.67 Solving -0.04 + 1t = 3.67 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.04' to each side of the equation. -0.04 + 0.04 + 1t = 3.67 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 1t = 3.67 + 0.04 1t = 3.67 + 0.04 Combine like terms: 3.67 + 0.04 = 3.71 1t = 3.71 Divide each side by '1'. t = 3.71 Simplifying t = 3.71
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