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Simplifying 9(2t + -6) = 2(3t + -9) Reorder the terms: 9(-6 + 2t) = 2(3t + -9) (-6 * 9 + 2t * 9) = 2(3t + -9) (-54 + 18t) = 2(3t + -9) Reorder the terms: -54 + 18t = 2(-9 + 3t) -54 + 18t = (-9 * 2 + 3t * 2) -54 + 18t = (-18 + 6t) Solving -54 + 18t = -18 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -54 + 18t + -6t = -18 + 6t + -6t Combine like terms: 18t + -6t = 12t -54 + 12t = -18 + 6t + -6t Combine like terms: 6t + -6t = 0 -54 + 12t = -18 + 0 -54 + 12t = -18 Add '54' to each side of the equation. -54 + 54 + 12t = -18 + 54 Combine like terms: -54 + 54 = 0 0 + 12t = -18 + 54 12t = -18 + 54 Combine like terms: -18 + 54 = 36 12t = 36 Divide each side by '12'. t = 3 Simplifying t = 3
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