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Simplifying 45(t + 1) = 55t Reorder the terms: 45(1 + t) = 55t (1 * 45 + t * 45) = 55t (45 + 45t) = 55t Solving 45 + 45t = 55t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-55t' to each side of the equation. 45 + 45t + -55t = 55t + -55t Combine like terms: 45t + -55t = -10t 45 + -10t = 55t + -55t Combine like terms: 55t + -55t = 0 45 + -10t = 0 Add '-45' to each side of the equation. 45 + -45 + -10t = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -10t = 0 + -45 -10t = 0 + -45 Combine like terms: 0 + -45 = -45 -10t = -45 Divide each side by '-10'. t = 4.5 Simplifying t = 4.5
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