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Simplifying 0.9t + 0.1(t + -0.4) = 4.69 Reorder the terms: 0.9t + 0.1(-0.4 + t) = 4.69 0.9t + (-0.4 * 0.1 + t * 0.1) = 4.69 0.9t + (-0.04 + 0.1t) = 4.69 Reorder the terms: -0.04 + 0.9t + 0.1t = 4.69 Combine like terms: 0.9t + 0.1t = 1t -0.04 + 1t = 4.69 Solving -0.04 + 1t = 4.69 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 = 4.69 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 1t = 4.69 + 0.04 1t = 4.69 + 0.04 Combine like terms: 4.69 + 0.04 = 4.73 1t = 4.73 Divide each side by '1'. t = 4.73 Simplifying t = 4.73
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