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Simplifying 0.333333333(12 + -6t) = 4 + -2t (12 * 0.333333333 + -6t * 0.333333333) = 4 + -2t (3.999999996 + -1.999999998t) = 4 + -2t Solving 3.999999996 + -1.999999998t = 4 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 3.999999996 + -1.999999998t + 2t = 4 + -2t + 2t Combine like terms: -1.999999998t + 2t = 0.000000002t 3.999999996 + 0.000000002t = 4 + -2t + 2t Combine like terms: -2t + 2t = 0 3.999999996 + 0.000000002t = 4 + 0 3.999999996 + 0.000000002t = 4 Add '-3.999999996' to each side of the equation. 3.999999996 + -3.999999996 + 0.000000002t = 4 + -3.999999996 Combine like terms: 3.999999996 + -3.999999996 = 0.000000000 0.000000000 + 0.000000002t = 4 + -3.999999996 0.000000002t = 4 + -3.999999996 Combine like terms: 4 + -3.999999996 = 0.000000004 0.000000002t = 0.000000004 Divide each side by '0.000000002'. t = 2 Simplifying t = 2
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