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Simplifying 3(r + -6) = 2(r + 4) Reorder the terms: 3(-6 + r) = 2(r + 4) (-6 * 3 + r * 3) = 2(r + 4) (-18 + 3r) = 2(r + 4) Reorder the terms: -18 + 3r = 2(4 + r) -18 + 3r = (4 * 2 + r * 2) -18 + 3r = (8 + 2r) Solving -18 + 3r = 8 + 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. -18 + 3r + -2r = 8 + 2r + -2r Combine like terms: 3r + -2r = 1r -18 + 1r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 -18 + 1r = 8 + 0 -18 + 1r = 8 Add '18' to each side of the equation. -18 + 18 + 1r = 8 + 18 Combine like terms: -18 + 18 = 0 0 + 1r = 8 + 18 1r = 8 + 18 Combine like terms: 8 + 18 = 26 1r = 26 Divide each side by '1'. r = 26 Simplifying r = 26
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