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Simplifying 12(1.5 + -1t) = 42t (1.5 * 12 + -1t * 12) = 42t (18 + -12t) = 42t Solving 18 + -12t = 42t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-42t' to each side of the equation. 18 + -12t + -42t = 42t + -42t Combine like terms: -12t + -42t = -54t 18 + -54t = 42t + -42t Combine like terms: 42t + -42t = 0 18 + -54t = 0 Add '-18' to each side of the equation. 18 + -18 + -54t = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -54t = 0 + -18 -54t = 0 + -18 Combine like terms: 0 + -18 = -18 -54t = -18 Divide each side by '-54'. t = 0.3333333333 Simplifying t = 0.3333333333
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