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Simplifying 2.5t + 5 = 7t + 14 Reorder the terms: 5 + 2.5t = 7t + 14 Reorder the terms: 5 + 2.5t = 14 + 7t Solving 5 + 2.5t = 14 + 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 + 2.5t + -7t = 14 + 7t + -7t Combine like terms: 2.5t + -7t = -4.5t 5 + -4.5t = 14 + 7t + -7t Combine like terms: 7t + -7t = 0 5 + -4.5t = 14 + 0 5 + -4.5t = 14 Add '-5' to each side of the equation. 5 + -5 + -4.5t = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -4.5t = 14 + -5 -4.5t = 14 + -5 Combine like terms: 14 + -5 = 9 -4.5t = 9 Divide each side by '-4.5'. t = -2 Simplifying t = -2
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