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Simplifying 0.05(2t + -1) + -0.03(4t + -1) = 0.2 Reorder the terms: 0.05(-1 + 2t) + -0.03(4t + -1) = 0.2 (-1 * 0.05 + 2t * 0.05) + -0.03(4t + -1) = 0.2 (-0.05 + 0.1t) + -0.03(4t + -1) = 0.2 Reorder the terms: -0.05 + 0.1t + -0.03(-1 + 4t) = 0.2 -0.05 + 0.1t + (-1 * -0.03 + 4t * -0.03) = 0.2 -0.05 + 0.1t + (0.03 + -0.12t) = 0.2 Reorder the terms: -0.05 + 0.03 + 0.1t + -0.12t = 0.2 Combine like terms: -0.05 + 0.03 = -0.02 -0.02 + 0.1t + -0.12t = 0.2 Combine like terms: 0.1t + -0.12t = -0.02t -0.02 + -0.02t = 0.2 Solving -0.02 + -0.02t = 0.2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.02' to each side of the equation. -0.02 + 0.02 + -0.02t = 0.2 + 0.02 Combine like terms: -0.02 + 0.02 = 0.00 0.00 + -0.02t = 0.2 + 0.02 -0.02t = 0.2 + 0.02 Combine like terms: 0.2 + 0.02 = 0.22 -0.02t = 0.22 Divide each side by '-0.02'. t = -11 Simplifying t = -11
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