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Simplifying -1.9t + 5.28 = 0.3(7 + -6t) Reorder the terms: 5.28 + -1.9t = 0.3(7 + -6t) 5.28 + -1.9t = (7 * 0.3 + -6t * 0.3) 5.28 + -1.9t = (2.1 + -1.8t) Solving 5.28 + -1.9t = 2.1 + -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. 5.28 + -1.9t + 1.8t = 2.1 + -1.8t + 1.8t Combine like terms: -1.9t + 1.8t = -0.1t 5.28 + -0.1t = 2.1 + -1.8t + 1.8t Combine like terms: -1.8t + 1.8t = 0.0 5.28 + -0.1t = 2.1 + 0.0 5.28 + -0.1t = 2.1 Add '-5.28' to each side of the equation. 5.28 + -5.28 + -0.1t = 2.1 + -5.28 Combine like terms: 5.28 + -5.28 = 0.00 0.00 + -0.1t = 2.1 + -5.28 -0.1t = 2.1 + -5.28 Combine like terms: 2.1 + -5.28 = -3.18 -0.1t = -3.18 Divide each side by '-0.1'. t = 31.8 Simplifying t = 31.8
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