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Simplifying -4(3t + -9) = -1t + 30 Reorder the terms: -4(-9 + 3t) = -1t + 30 (-9 * -4 + 3t * -4) = -1t + 30 (36 + -12t) = -1t + 30 Reorder the terms: 36 + -12t = 30 + -1t Solving 36 + -12t = 30 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 36 + -12t + t = 30 + -1t + t Combine like terms: -12t + t = -11t 36 + -11t = 30 + -1t + t Combine like terms: -1t + t = 0 36 + -11t = 30 + 0 36 + -11t = 30 Add '-36' to each side of the equation. 36 + -36 + -11t = 30 + -36 Combine like terms: 36 + -36 = 0 0 + -11t = 30 + -36 -11t = 30 + -36 Combine like terms: 30 + -36 = -6 -11t = -6 Divide each side by '-11'. t = 0.5454545455 Simplifying t = 0.5454545455
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