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Simplifying (6)(3t + -6) = (9)(0.2t + 4) Reorder the terms: 6(-6 + 3t) = (9)(0.2t + 4) (-6 * 6 + 3t * 6) = (9)(0.2t + 4) (-36 + 18t) = (9)(0.2t + 4) Reorder the terms: -36 + 18t = 9(4 + 0.2t) -36 + 18t = (4 * 9 + 0.2t * 9) -36 + 18t = (36 + 1.8t) Solving -36 + 18t = 36 + 1.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.8t' to each side of the equation. -36 + 18t + -1.8t = 36 + 1.8t + -1.8t Combine like terms: 18t + -1.8t = 16.2t -36 + 16.2t = 36 + 1.8t + -1.8t Combine like terms: 1.8t + -1.8t = 0.0 -36 + 16.2t = 36 + 0.0 -36 + 16.2t = 36 Add '36' to each side of the equation. -36 + 36 + 16.2t = 36 + 36 Combine like terms: -36 + 36 = 0 0 + 16.2t = 36 + 36 16.2t = 36 + 36 Combine like terms: 36 + 36 = 72 16.2t = 72 Divide each side by '16.2'. t = 4.444444444 Simplifying t = 4.444444444
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