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Simplifying 2t + 47.5 = 7t + -13.2 Reorder the terms: 47.5 + 2t = 7t + -13.2 Reorder the terms: 47.5 + 2t = -13.2 + 7t Solving 47.5 + 2t = -13.2 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 47.5 + 2t + -7t = -13.2 + 7t + -7t Combine like terms: 2t + -7t = -5t 47.5 + -5t = -13.2 + 7t + -7t Combine like terms: 7t + -7t = 0 47.5 + -5t = -13.2 + 0 47.5 + -5t = -13.2 Add '-47.5' to each side of the equation. 47.5 + -47.5 + -5t = -13.2 + -47.5 Combine like terms: 47.5 + -47.5 = 0.0 0.0 + -5t = -13.2 + -47.5 -5t = -13.2 + -47.5 Combine like terms: -13.2 + -47.5 = -60.7 -5t = -60.7 Divide each side by '-5'. t = 12.14 Simplifying t = 12.14
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