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Simplifying 3t + -2 = 0.8(3 + 2t) Reorder the terms: -2 + 3t = 0.8(3 + 2t) -2 + 3t = (3 * 0.8 + 2t * 0.8) -2 + 3t = (2.4 + 1.6t) Solving -2 + 3t = 2.4 + 1.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.6t' to each side of the equation. -2 + 3t + -1.6t = 2.4 + 1.6t + -1.6t Combine like terms: 3t + -1.6t = 1.4t -2 + 1.4t = 2.4 + 1.6t + -1.6t Combine like terms: 1.6t + -1.6t = 0.0 -2 + 1.4t = 2.4 + 0.0 -2 + 1.4t = 2.4 Add '2' to each side of the equation. -2 + 2 + 1.4t = 2.4 + 2 Combine like terms: -2 + 2 = 0 0 + 1.4t = 2.4 + 2 1.4t = 2.4 + 2 Combine like terms: 2.4 + 2 = 4.4 1.4t = 4.4 Divide each side by '1.4'. t = 3.142857143 Simplifying t = 3.142857143
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