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