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Simplifying 0.16(12t + 48) + -20 = -0.125(24t + -144) Reorder the terms: 0.16(48 + 12t) + -20 = -0.125(24t + -144) (48 * 0.16 + 12t * 0.16) + -20 = -0.125(24t + -144) (7.68 + 1.92t) + -20 = -0.125(24t + -144) Reorder the terms: 7.68 + -20 + 1.92t = -0.125(24t + -144) Combine like terms: 7.68 + -20 = -12.32 -12.32 + 1.92t = -0.125(24t + -144) Reorder the terms: -12.32 + 1.92t = -0.125(-144 + 24t) -12.32 + 1.92t = (-144 * -0.125 + 24t * -0.125) -12.32 + 1.92t = (18 + -3t) Solving -12.32 + 1.92t = 18 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. -12.32 + 1.92t + 3t = 18 + -3t + 3t Combine like terms: 1.92t + 3t = 4.92t -12.32 + 4.92t = 18 + -3t + 3t Combine like terms: -3t + 3t = 0 -12.32 + 4.92t = 18 + 0 -12.32 + 4.92t = 18 Add '12.32' to each side of the equation. -12.32 + 12.32 + 4.92t = 18 + 12.32 Combine like terms: -12.32 + 12.32 = 0.00 0.00 + 4.92t = 18 + 12.32 4.92t = 18 + 12.32 Combine like terms: 18 + 12.32 = 30.32 4.92t = 30.32 Divide each side by '4.92'. t = 6.162601626 Simplifying t = 6.162601626
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