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Simplifying 3(12 + -1t) = 8 + 3t (12 * 3 + -1t * 3) = 8 + 3t (36 + -3t) = 8 + 3t Solving 36 + -3t = 8 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 36 + -3t + -3t = 8 + 3t + -3t Combine like terms: -3t + -3t = -6t 36 + -6t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 36 + -6t = 8 + 0 36 + -6t = 8 Add '-36' to each side of the equation. 36 + -36 + -6t = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -6t = 8 + -36 -6t = 8 + -36 Combine like terms: 8 + -36 = -28 -6t = -28 Divide each side by '-6'. t = 4.666666667 Simplifying t = 4.666666667
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