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Simplifying 12t + -1(7 + -3t) = -8 + -30 12t + (7 * -1 + -3t * -1) = -8 + -30 12t + (-7 + 3t) = -8 + -30 Reorder the terms: -7 + 12t + 3t = -8 + -30 Combine like terms: 12t + 3t = 15t -7 + 15t = -8 + -30 Combine like terms: -8 + -30 = -38 -7 + 15t = -38 Solving -7 + 15t = -38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 15t = -38 + 7 Combine like terms: -7 + 7 = 0 0 + 15t = -38 + 7 15t = -38 + 7 Combine like terms: -38 + 7 = -31 15t = -31 Divide each side by '15'. t = -2.066666667 Simplifying t = -2.066666667
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