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