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Simplifying 4(4r + 6) = 6(3r + 6) Reorder the terms: 4(6 + 4r) = 6(3r + 6) (6 * 4 + 4r * 4) = 6(3r + 6) (24 + 16r) = 6(3r + 6) Reorder the terms: 24 + 16r = 6(6 + 3r) 24 + 16r = (6 * 6 + 3r * 6) 24 + 16r = (36 + 18r) Solving 24 + 16r = 36 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 24 + 16r + -18r = 36 + 18r + -18r Combine like terms: 16r + -18r = -2r 24 + -2r = 36 + 18r + -18r Combine like terms: 18r + -18r = 0 24 + -2r = 36 + 0 24 + -2r = 36 Add '-24' to each side of the equation. 24 + -24 + -2r = 36 + -24 Combine like terms: 24 + -24 = 0 0 + -2r = 36 + -24 -2r = 36 + -24 Combine like terms: 36 + -24 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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