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Simplifying 18(x + -6) + 3t = 7(3t + 2) + -12 Reorder the terms: 18(-6 + x) + 3t = 7(3t + 2) + -12 (-6 * 18 + x * 18) + 3t = 7(3t + 2) + -12 (-108 + 18x) + 3t = 7(3t + 2) + -12 Reorder the terms: -108 + 3t + 18x = 7(3t + 2) + -12 Reorder the terms: -108 + 3t + 18x = 7(2 + 3t) + -12 -108 + 3t + 18x = (2 * 7 + 3t * 7) + -12 -108 + 3t + 18x = (14 + 21t) + -12 Reorder the terms: -108 + 3t + 18x = 14 + -12 + 21t Combine like terms: 14 + -12 = 2 -108 + 3t + 18x = 2 + 21t Solving -108 + 3t + 18x = 2 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. -108 + 3t + -21t + 18x = 2 + 21t + -21t Combine like terms: 3t + -21t = -18t -108 + -18t + 18x = 2 + 21t + -21t Combine like terms: 21t + -21t = 0 -108 + -18t + 18x = 2 + 0 -108 + -18t + 18x = 2 Add '108' to each side of the equation. -108 + -18t + 108 + 18x = 2 + 108 Reorder the terms: -108 + 108 + -18t + 18x = 2 + 108 Combine like terms: -108 + 108 = 0 0 + -18t + 18x = 2 + 108 -18t + 18x = 2 + 108 Combine like terms: 2 + 108 = 110 -18t + 18x = 110 Add '-18x' to each side of the equation. -18t + 18x + -18x = 110 + -18x Combine like terms: 18x + -18x = 0 -18t + 0 = 110 + -18x -18t = 110 + -18x Divide each side by '-18'. t = -6.111111111 + x Simplifying t = -6.111111111 + x
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