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Simplifying -6 = 2(-4r + 5) Reorder the terms: -6 = 2(5 + -4r) -6 = (5 * 2 + -4r * 2) -6 = (10 + -8r) Solving -6 = 10 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -6 + 8r = 10 + -8r + 8r Combine like terms: -8r + 8r = 0 -6 + 8r = 10 + 0 -6 + 8r = 10 Add '6' to each side of the equation. -6 + 6 + 8r = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8r = 10 + 6 8r = 10 + 6 Combine like terms: 10 + 6 = 16 8r = 16 Divide each side by '8'. r = 2 Simplifying r = 2
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