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Simplifying 2(t + 2.5) = 7t + -13.0 Reorder the terms: 2(2.5 + t) = 7t + -13.0 (2.5 * 2 + t * 2) = 7t + -13.0 (5 + 2t) = 7t + -13.0 Reorder the terms: 5 + 2t = -13.0 + 7t Solving 5 + 2t = -13.0 + 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. 5 + 2t + -7t = -13.0 + 7t + -7t Combine like terms: 2t + -7t = -5t 5 + -5t = -13.0 + 7t + -7t Combine like terms: 7t + -7t = 0 5 + -5t = -13.0 + 0 5 + -5t = -13.0 Add '-5' to each side of the equation. 5 + -5 + -5t = -13.0 + -5 Combine like terms: 5 + -5 = 0 0 + -5t = -13.0 + -5 -5t = -13.0 + -5 Combine like terms: -13.0 + -5 = -18 -5t = -18 Divide each side by '-5'. t = 3.6 Simplifying t = 3.6
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