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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 = 7t -7 + 7t = -30 + 8t + -8t Combine like terms: 8t + -8t = 0 -7 + 7t = -30 + 0 -7 + 7t = -30 Add '7' to each side of the equation. -7 + 7 + 7t = -30 + 7 Combine like terms: -7 + 7 = 0 0 + 7t = -30 + 7 7t = -30 + 7 Combine like terms: -30 + 7 = -23 7t = -23 Divide each side by '7'. t = -3.285714286 Simplifying t = -3.285714286
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