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Simplifying 12(5.5 + -1t) = 10t (5.5 * 12 + -1t * 12) = 10t (66 + -12t) = 10t Solving 66 + -12t = 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 66 + -12t + -10t = 10t + -10t Combine like terms: -12t + -10t = -22t 66 + -22t = 10t + -10t Combine like terms: 10t + -10t = 0 66 + -22t = 0 Add '-66' to each side of the equation. 66 + -66 + -22t = 0 + -66 Combine like terms: 66 + -66 = 0 0 + -22t = 0 + -66 -22t = 0 + -66 Combine like terms: 0 + -66 = -66 -22t = -66 Divide each side by '-22'. t = 3 Simplifying t = 3
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