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Simplifying 3.8t + -16.2 = 12 + 2.8(t + 3) Reorder the terms: -16.2 + 3.8t = 12 + 2.8(t + 3) Reorder the terms: -16.2 + 3.8t = 12 + 2.8(3 + t) -16.2 + 3.8t = 12 + (3 * 2.8 + t * 2.8) -16.2 + 3.8t = 12 + (8.4 + 2.8t) Combine like terms: 12 + 8.4 = 20.4 -16.2 + 3.8t = 20.4 + 2.8t Solving -16.2 + 3.8t = 20.4 + 2.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.8t' to each side of the equation. -16.2 + 3.8t + -2.8t = 20.4 + 2.8t + -2.8t Combine like terms: 3.8t + -2.8t = 1t -16.2 + 1t = 20.4 + 2.8t + -2.8t Combine like terms: 2.8t + -2.8t = 0.0 -16.2 + 1t = 20.4 + 0.0 -16.2 + 1t = 20.4 Add '16.2' to each side of the equation. -16.2 + 16.2 + 1t = 20.4 + 16.2 Combine like terms: -16.2 + 16.2 = 0.0 0.0 + 1t = 20.4 + 16.2 1t = 20.4 + 16.2 Combine like terms: 20.4 + 16.2 = 36.6 1t = 36.6 Divide each side by '1'. t = 36.6 Simplifying t = 36.6
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