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Simplifying 0.25t + 0.10(t + -4) = 11.60 Reorder the terms: 0.25t + 0.10(-4 + t) = 11.60 0.25t + (-4 * 0.10 + t * 0.10) = 11.60 0.25t + (-0.4 + 0.10t) = 11.60 Reorder the terms: -0.4 + 0.25t + 0.10t = 11.60 Combine like terms: 0.25t + 0.10t = 0.35t -0.4 + 0.35t = 11.60 Solving -0.4 + 0.35t = 11.60 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.35t = 11.60 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.35t = 11.60 + 0.4 0.35t = 11.60 + 0.4 Combine like terms: 11.60 + 0.4 = 12 0.35t = 12 Divide each side by '0.35'. t = 34.28571429 Simplifying t = 34.28571429
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