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Simplifying -4(-1r + 6) = 2(r + 5) Reorder the terms: -4(6 + -1r) = 2(r + 5) (6 * -4 + -1r * -4) = 2(r + 5) (-24 + 4r) = 2(r + 5) Reorder the terms: -24 + 4r = 2(5 + r) -24 + 4r = (5 * 2 + r * 2) -24 + 4r = (10 + 2r) Solving -24 + 4r = 10 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -24 + 4r + -2r = 10 + 2r + -2r Combine like terms: 4r + -2r = 2r -24 + 2r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -24 + 2r = 10 + 0 -24 + 2r = 10 Add '24' to each side of the equation. -24 + 24 + 2r = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2r = 10 + 24 2r = 10 + 24 Combine like terms: 10 + 24 = 34 2r = 34 Divide each side by '2'. r = 17 Simplifying r = 17
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