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Simplifying 0.05(13 + -1t) + -0.2 = 0.08(30) (13 * 0.05 + -1t * 0.05) + -0.2 = 0.08(30) (0.65 + -0.05t) + -0.2 = 0.08(30) Reorder the terms: 0.65 + -0.2 + -0.05t = 0.08(30) Combine like terms: 0.65 + -0.2 = 0.45 0.45 + -0.05t = 0.08(30) Multiply 0.08 * 30 0.45 + -0.05t = 2.4 Solving 0.45 + -0.05t = 2.4 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.45' to each side of the equation. 0.45 + -0.45 + -0.05t = 2.4 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -0.05t = 2.4 + -0.45 -0.05t = 2.4 + -0.45 Combine like terms: 2.4 + -0.45 = 1.95 -0.05t = 1.95 Divide each side by '-0.05'. t = -39 Simplifying t = -39
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