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Simplifying 0.6t + 0.4(t + -0.7) = 4.76 Reorder the terms: 0.6t + 0.4(-0.7 + t) = 4.76 0.6t + (-0.7 * 0.4 + t * 0.4) = 4.76 0.6t + (-0.28 + 0.4t) = 4.76 Reorder the terms: -0.28 + 0.6t + 0.4t = 4.76 Combine like terms: 0.6t + 0.4t = 1t -0.28 + 1t = 4.76 Solving -0.28 + 1t = 4.76 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.28' to each side of the equation. -0.28 + 0.28 + 1t = 4.76 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 1t = 4.76 + 0.28 1t = 4.76 + 0.28 Combine like terms: 4.76 + 0.28 = 5.04 1t = 5.04 Divide each side by '1'. t = 5.04 Simplifying t = 5.04
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