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Simplifying (4r + 5) * 2 = 6r Reorder the terms: (5 + 4r) * 2 = 6r Reorder the terms for easier multiplication: 2(5 + 4r) = 6r (5 * 2 + 4r * 2) = 6r (10 + 8r) = 6r Solving 10 + 8r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 10 + 8r + -6r = 6r + -6r Combine like terms: 8r + -6r = 2r 10 + 2r = 6r + -6r Combine like terms: 6r + -6r = 0 10 + 2r = 0 Add '-10' to each side of the equation. 10 + -10 + 2r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2r = 0 + -10 2r = 0 + -10 Combine like terms: 0 + -10 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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