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Simplifying 2.5 + 0.5t = 2(t + 0.5) Reorder the terms: 2.5 + 0.5t = 2(0.5 + t) 2.5 + 0.5t = (0.5 * 2 + t * 2) 2.5 + 0.5t = (1 + 2t) Solving 2.5 + 0.5t = 1 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 2.5 + 0.5t + -2t = 1 + 2t + -2t Combine like terms: 0.5t + -2t = -1.5t 2.5 + -1.5t = 1 + 2t + -2t Combine like terms: 2t + -2t = 0 2.5 + -1.5t = 1 + 0 2.5 + -1.5t = 1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1.5t = 1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5t = 1 + -2.5 -1.5t = 1 + -2.5 Combine like terms: 1 + -2.5 = -1.5 -1.5t = -1.5 Divide each side by '-1.5'. t = 1 Simplifying t = 1
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