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Simplifying 37.8 = 12t + -10.2 Reorder the terms: 37.8 = -10.2 + 12t Solving 37.8 = -10.2 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 37.8 + -12t = -10.2 + 12t + -12t Combine like terms: 12t + -12t = 0 37.8 + -12t = -10.2 + 0 37.8 + -12t = -10.2 Add '-37.8' to each side of the equation. 37.8 + -37.8 + -12t = -10.2 + -37.8 Combine like terms: 37.8 + -37.8 = 0.0 0.0 + -12t = -10.2 + -37.8 -12t = -10.2 + -37.8 Combine like terms: -10.2 + -37.8 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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