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Simplifying 0.59 + 0.47t = 2.92t + -1.37 Reorder the terms: 0.59 + 0.47t = -1.37 + 2.92t Solving 0.59 + 0.47t = -1.37 + 2.92t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.92t' to each side of the equation. 0.59 + 0.47t + -2.92t = -1.37 + 2.92t + -2.92t Combine like terms: 0.47t + -2.92t = -2.45t 0.59 + -2.45t = -1.37 + 2.92t + -2.92t Combine like terms: 2.92t + -2.92t = 0.00 0.59 + -2.45t = -1.37 + 0.00 0.59 + -2.45t = -1.37 Add '-0.59' to each side of the equation. 0.59 + -0.59 + -2.45t = -1.37 + -0.59 Combine like terms: 0.59 + -0.59 = 0.00 0.00 + -2.45t = -1.37 + -0.59 -2.45t = -1.37 + -0.59 Combine like terms: -1.37 + -0.59 = -1.96 -2.45t = -1.96 Divide each side by '-2.45'. t = 0.8 Simplifying t = 0.8
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