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Simplifying 0.56 + 0.34t = 2.05t + -0.58 Reorder the terms: 0.56 + 0.34t = -0.58 + 2.05t Solving 0.56 + 0.34t = -0.58 + 2.05t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.05t' to each side of the equation. 0.56 + 0.34t + -2.05t = -0.58 + 2.05t + -2.05t Combine like terms: 0.34t + -2.05t = -1.71t 0.56 + -1.71t = -0.58 + 2.05t + -2.05t Combine like terms: 2.05t + -2.05t = 0.00 0.56 + -1.71t = -0.58 + 0.00 0.56 + -1.71t = -0.58 Add '-0.56' to each side of the equation. 0.56 + -0.56 + -1.71t = -0.58 + -0.56 Combine like terms: 0.56 + -0.56 = 0.00 0.00 + -1.71t = -0.58 + -0.56 -1.71t = -0.58 + -0.56 Combine like terms: -0.58 + -0.56 = -1.14 -1.71t = -1.14 Divide each side by '-1.71'. t = 0.6666666667 Simplifying t = 0.6666666667
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