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Simplifying -6(4r + -3) = -11 + -5(r + 17) Reorder the terms: -6(-3 + 4r) = -11 + -5(r + 17) (-3 * -6 + 4r * -6) = -11 + -5(r + 17) (18 + -24r) = -11 + -5(r + 17) Reorder the terms: 18 + -24r = -11 + -5(17 + r) 18 + -24r = -11 + (17 * -5 + r * -5) 18 + -24r = -11 + (-85 + -5r) Combine like terms: -11 + -85 = -96 18 + -24r = -96 + -5r Solving 18 + -24r = -96 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 18 + -24r + 5r = -96 + -5r + 5r Combine like terms: -24r + 5r = -19r 18 + -19r = -96 + -5r + 5r Combine like terms: -5r + 5r = 0 18 + -19r = -96 + 0 18 + -19r = -96 Add '-18' to each side of the equation. 18 + -18 + -19r = -96 + -18 Combine like terms: 18 + -18 = 0 0 + -19r = -96 + -18 -19r = -96 + -18 Combine like terms: -96 + -18 = -114 -19r = -114 Divide each side by '-19'. r = 6 Simplifying r = 6
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