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Simplifying -1(4r + 2) = -8r + 10 Reorder the terms: -1(2 + 4r) = -8r + 10 (2 * -1 + 4r * -1) = -8r + 10 (-2 + -4r) = -8r + 10 Reorder the terms: -2 + -4r = 10 + -8r Solving -2 + -4r = 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. -2 + -4r + 8r = 10 + -8r + 8r Combine like terms: -4r + 8r = 4r -2 + 4r = 10 + -8r + 8r Combine like terms: -8r + 8r = 0 -2 + 4r = 10 + 0 -2 + 4r = 10 Add '2' to each side of the equation. -2 + 2 + 4r = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 4r = 10 + 2 4r = 10 + 2 Combine like terms: 10 + 2 = 12 4r = 12 Divide each side by '4'. r = 3 Simplifying r = 3
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