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Simplifying 10 + -5t = 45(1 + -1t) 10 + -5t = (1 * 45 + -1t * 45) 10 + -5t = (45 + -45t) Solving 10 + -5t = 45 + -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. 10 + -5t + 45t = 45 + -45t + 45t Combine like terms: -5t + 45t = 40t 10 + 40t = 45 + -45t + 45t Combine like terms: -45t + 45t = 0 10 + 40t = 45 + 0 10 + 40t = 45 Add '-10' to each side of the equation. 10 + -10 + 40t = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 40t = 45 + -10 40t = 45 + -10 Combine like terms: 45 + -10 = 35 40t = 35 Divide each side by '40'. t = 0.875 Simplifying t = 0.875
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