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Simplifying 12 + -1(9 + 3t) = 6t 12 + (9 * -1 + 3t * -1) = 6t 12 + (-9 + -3t) = 6t Combine like terms: 12 + -9 = 3 3 + -3t = 6t Solving 3 + -3t = 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 3 + -3t + -6t = 6t + -6t Combine like terms: -3t + -6t = -9t 3 + -9t = 6t + -6t Combine like terms: 6t + -6t = 0 3 + -9t = 0 Add '-3' to each side of the equation. 3 + -3 + -9t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -9t = 0 + -3 -9t = 0 + -3 Combine like terms: 0 + -3 = -3 -9t = -3 Divide each side by '-9'. t = 0.3333333333 Simplifying t = 0.3333333333
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