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Simplifying 1.55t + -2.85 = 8.4t + 10.85 Reorder the terms: -2.85 + 1.55t = 8.4t + 10.85 Reorder the terms: -2.85 + 1.55t = 10.85 + 8.4t Solving -2.85 + 1.55t = 10.85 + 8.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8.4t' to each side of the equation. -2.85 + 1.55t + -8.4t = 10.85 + 8.4t + -8.4t Combine like terms: 1.55t + -8.4t = -6.85t -2.85 + -6.85t = 10.85 + 8.4t + -8.4t Combine like terms: 8.4t + -8.4t = 0.0 -2.85 + -6.85t = 10.85 + 0.0 -2.85 + -6.85t = 10.85 Add '2.85' to each side of the equation. -2.85 + 2.85 + -6.85t = 10.85 + 2.85 Combine like terms: -2.85 + 2.85 = 0.00 0.00 + -6.85t = 10.85 + 2.85 -6.85t = 10.85 + 2.85 Combine like terms: 10.85 + 2.85 = 13.7 -6.85t = 13.7 Divide each side by '-6.85'. t = -2 Simplifying t = -2
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