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Simplifying -2.30 + -0.4t = 5.4(t + 4.3) Reorder the terms: -2.30 + -0.4t = 5.4(4.3 + t) -2.30 + -0.4t = (4.3 * 5.4 + t * 5.4) -2.30 + -0.4t = (23.22 + 5.4t) Solving -2.30 + -0.4t = 23.22 + 5.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5.4t' to each side of the equation. -2.30 + -0.4t + -5.4t = 23.22 + 5.4t + -5.4t Combine like terms: -0.4t + -5.4t = -5.8t -2.30 + -5.8t = 23.22 + 5.4t + -5.4t Combine like terms: 5.4t + -5.4t = 0.0 -2.30 + -5.8t = 23.22 + 0.0 -2.30 + -5.8t = 23.22 Add '2.30' to each side of the equation. -2.30 + 2.30 + -5.8t = 23.22 + 2.30 Combine like terms: -2.30 + 2.30 = 0.00 0.00 + -5.8t = 23.22 + 2.30 -5.8t = 23.22 + 2.30 Combine like terms: 23.22 + 2.30 = 25.52 -5.8t = 25.52 Divide each side by '-5.8'. t = -4.4 Simplifying t = -4.4
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