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Simplifying 2.5(1 + -1t) = 45t (1 * 2.5 + -1t * 2.5) = 45t (2.5 + -2.5t) = 45t Solving 2.5 + -2.5t = 45t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45t' to each side of the equation. 2.5 + -2.5t + -45t = 45t + -45t Combine like terms: -2.5t + -45t = -47.5t 2.5 + -47.5t = 45t + -45t Combine like terms: 45t + -45t = 0 2.5 + -47.5t = 0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -47.5t = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -47.5t = 0 + -2.5 -47.5t = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -47.5t = -2.5 Divide each side by '-47.5'. t = 0.05263157895 Simplifying t = 0.05263157895
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