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Simplifying 5r + 3(2r + -6) = 8 + 7(r + 2) Reorder the terms: 5r + 3(-6 + 2r) = 8 + 7(r + 2) 5r + (-6 * 3 + 2r * 3) = 8 + 7(r + 2) 5r + (-18 + 6r) = 8 + 7(r + 2) Reorder the terms: -18 + 5r + 6r = 8 + 7(r + 2) Combine like terms: 5r + 6r = 11r -18 + 11r = 8 + 7(r + 2) Reorder the terms: -18 + 11r = 8 + 7(2 + r) -18 + 11r = 8 + (2 * 7 + r * 7) -18 + 11r = 8 + (14 + 7r) Combine like terms: 8 + 14 = 22 -18 + 11r = 22 + 7r Solving -18 + 11r = 22 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -18 + 11r + -7r = 22 + 7r + -7r Combine like terms: 11r + -7r = 4r -18 + 4r = 22 + 7r + -7r Combine like terms: 7r + -7r = 0 -18 + 4r = 22 + 0 -18 + 4r = 22 Add '18' to each side of the equation. -18 + 18 + 4r = 22 + 18 Combine like terms: -18 + 18 = 0 0 + 4r = 22 + 18 4r = 22 + 18 Combine like terms: 22 + 18 = 40 4r = 40 Divide each side by '4'. r = 10 Simplifying r = 10
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