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Simplifying 12(t + 0.16) = 16t Reorder the terms: 12(0.16 + t) = 16t (0.16 * 12 + t * 12) = 16t (1.92 + 12t) = 16t Solving 1.92 + 12t = 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 1.92 + 12t + -16t = 16t + -16t Combine like terms: 12t + -16t = -4t 1.92 + -4t = 16t + -16t Combine like terms: 16t + -16t = 0 1.92 + -4t = 0 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -4t = 0 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -4t = 0 + -1.92 -4t = 0 + -1.92 Combine like terms: 0 + -1.92 = -1.92 -4t = -1.92 Divide each side by '-4'. t = 0.48 Simplifying t = 0.48
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