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Simplifying 12t + -1(7 + -3t) = -8t + -30 12t + (7 * -1 + -3t * -1) = -8t + -30 12t + (-7 + 3t) = -8t + -30 Reorder the terms: -7 + 12t + 3t = -8t + -30 Combine like terms: 12t + 3t = 15t -7 + 15t = -8t + -30 Reorder the terms: -7 + 15t = -30 + -8t Solving -7 + 15t = -30 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. -7 + 15t + 8t = -30 + -8t + 8t Combine like terms: 15t + 8t = 23t -7 + 23t = -30 + -8t + 8t Combine like terms: -8t + 8t = 0 -7 + 23t = -30 + 0 -7 + 23t = -30 Add '7' to each side of the equation. -7 + 7 + 23t = -30 + 7 Combine like terms: -7 + 7 = 0 0 + 23t = -30 + 7 23t = -30 + 7 Combine like terms: -30 + 7 = -23 23t = -23 Divide each side by '23'. t = -1 Simplifying t = -1
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