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Simplifying 0.9t + 0.1(t + -0.3) = 4.99 Reorder the terms: 0.9t + 0.1(-0.3 + t) = 4.99 0.9t + (-0.3 * 0.1 + t * 0.1) = 4.99 0.9t + (-0.03 + 0.1t) = 4.99 Reorder the terms: -0.03 + 0.9t + 0.1t = 4.99 Combine like terms: 0.9t + 0.1t = 1t -0.03 + 1t = 4.99 Solving -0.03 + 1t = 4.99 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.03' to each side of the equation. -0.03 + 0.03 + 1t = 4.99 + 0.03 Combine like terms: -0.03 + 0.03 = 0.00 0.00 + 1t = 4.99 + 0.03 1t = 4.99 + 0.03 Combine like terms: 4.99 + 0.03 = 5.02 1t = 5.02 Divide each side by '1'. t = 5.02 Simplifying t = 5.02
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