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Simplifying 3x(2r + 8) = 16 Reorder the terms: 3x(8 + 2r) = 16 (8 * 3x + 2r * 3x) = 16 Reorder the terms: (6rx + 24x) = 16 (6rx + 24x) = 16 Solving 6rx + 24x = 16 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24x' to each side of the equation. 6rx + 24x + -24x = 16 + -24x Combine like terms: 24x + -24x = 0 6rx + 0 = 16 + -24x 6rx = 16 + -24x Divide each side by '6x'. r = 2.666666667x-1 + -4 Simplifying r = 2.666666667x-1 + -4 Reorder the terms: r = -4 + 2.666666667x-1
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