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Simplifying 9(t + -6) + 3 = 6(2t + 3) + -9 Reorder the terms: 9(-6 + t) + 3 = 6(2t + 3) + -9 (-6 * 9 + t * 9) + 3 = 6(2t + 3) + -9 (-54 + 9t) + 3 = 6(2t + 3) + -9 Reorder the terms: -54 + 3 + 9t = 6(2t + 3) + -9 Combine like terms: -54 + 3 = -51 -51 + 9t = 6(2t + 3) + -9 Reorder the terms: -51 + 9t = 6(3 + 2t) + -9 -51 + 9t = (3 * 6 + 2t * 6) + -9 -51 + 9t = (18 + 12t) + -9 Reorder the terms: -51 + 9t = 18 + -9 + 12t Combine like terms: 18 + -9 = 9 -51 + 9t = 9 + 12t Solving -51 + 9t = 9 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -51 + 9t + -12t = 9 + 12t + -12t Combine like terms: 9t + -12t = -3t -51 + -3t = 9 + 12t + -12t Combine like terms: 12t + -12t = 0 -51 + -3t = 9 + 0 -51 + -3t = 9 Add '51' to each side of the equation. -51 + 51 + -3t = 9 + 51 Combine like terms: -51 + 51 = 0 0 + -3t = 9 + 51 -3t = 9 + 51 Combine like terms: 9 + 51 = 60 -3t = 60 Divide each side by '-3'. t = -20 Simplifying t = -20
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