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Simplifying 0.86t + -12 = 0.31t + 15 Reorder the terms: -12 + 0.86t = 0.31t + 15 Reorder the terms: -12 + 0.86t = 15 + 0.31t Solving -12 + 0.86t = 15 + 0.31t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.31t' to each side of the equation. -12 + 0.86t + -0.31t = 15 + 0.31t + -0.31t Combine like terms: 0.86t + -0.31t = 0.55t -12 + 0.55t = 15 + 0.31t + -0.31t Combine like terms: 0.31t + -0.31t = 0.00 -12 + 0.55t = 15 + 0.00 -12 + 0.55t = 15 Add '12' to each side of the equation. -12 + 12 + 0.55t = 15 + 12 Combine like terms: -12 + 12 = 0 0 + 0.55t = 15 + 12 0.55t = 15 + 12 Combine like terms: 15 + 12 = 27 0.55t = 27 Divide each side by '0.55'. t = 49.09090909 Simplifying t = 49.09090909
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