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Simplifying 8(3r + 6) = 9(2r + -4) Reorder the terms: 8(6 + 3r) = 9(2r + -4) (6 * 8 + 3r * 8) = 9(2r + -4) (48 + 24r) = 9(2r + -4) Reorder the terms: 48 + 24r = 9(-4 + 2r) 48 + 24r = (-4 * 9 + 2r * 9) 48 + 24r = (-36 + 18r) Solving 48 + 24r = -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. 48 + 24r + -18r = -36 + 18r + -18r Combine like terms: 24r + -18r = 6r 48 + 6r = -36 + 18r + -18r Combine like terms: 18r + -18r = 0 48 + 6r = -36 + 0 48 + 6r = -36 Add '-48' to each side of the equation. 48 + -48 + 6r = -36 + -48 Combine like terms: 48 + -48 = 0 0 + 6r = -36 + -48 6r = -36 + -48 Combine like terms: -36 + -48 = -84 6r = -84 Divide each side by '6'. r = -14 Simplifying r = -14
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