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Simplifying 12(4t + -12) = 6t Reorder the terms: 12(-12 + 4t) = 6t (-12 * 12 + 4t * 12) = 6t (-144 + 48t) = 6t Solving -144 + 48t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -144 + 48t + -6t = 6t + -6t Combine like terms: 48t + -6t = 42t -144 + 42t = 6t + -6t Combine like terms: 6t + -6t = 0 -144 + 42t = 0 Add '144' to each side of the equation. -144 + 144 + 42t = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 42t = 0 + 144 42t = 0 + 144 Combine like terms: 0 + 144 = 144 42t = 144 Divide each side by '42'. t = 3.428571429 Simplifying t = 3.428571429
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