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Simplifying 12 + -1(t + 4) = 5(2 + -3t) Reorder the terms: 12 + -1(4 + t) = 5(2 + -3t) 12 + (4 * -1 + t * -1) = 5(2 + -3t) 12 + (-4 + -1t) = 5(2 + -3t) Combine like terms: 12 + -4 = 8 8 + -1t = 5(2 + -3t) 8 + -1t = (2 * 5 + -3t * 5) 8 + -1t = (10 + -15t) Solving 8 + -1t = 10 + -15t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15t' to each side of the equation. 8 + -1t + 15t = 10 + -15t + 15t Combine like terms: -1t + 15t = 14t 8 + 14t = 10 + -15t + 15t Combine like terms: -15t + 15t = 0 8 + 14t = 10 + 0 8 + 14t = 10 Add '-8' to each side of the equation. 8 + -8 + 14t = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 14t = 10 + -8 14t = 10 + -8 Combine like terms: 10 + -8 = 2 14t = 2 Divide each side by '14'. t = 0.1428571429 Simplifying t = 0.1428571429
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