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Simplifying 12 = 0.2(10t + 40) Reorder the terms: 12 = 0.2(40 + 10t) 12 = (40 * 0.2 + 10t * 0.2) 12 = (8 + 2t) Solving 12 = 8 + 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. 12 + -2t = 8 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -2t = 8 + 0 12 + -2t = 8 Add '-12' to each side of the equation. 12 + -12 + -2t = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = 8 + -12 -2t = 8 + -12 Combine like terms: 8 + -12 = -4 -2t = -4 Divide each side by '-2'. t = 2 Simplifying t = 2
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