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Simplifying 6r + 54 = 24r + -72 Reorder the terms: 54 + 6r = 24r + -72 Reorder the terms: 54 + 6r = -72 + 24r Solving 54 + 6r = -72 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 54 + 6r + -24r = -72 + 24r + -24r Combine like terms: 6r + -24r = -18r 54 + -18r = -72 + 24r + -24r Combine like terms: 24r + -24r = 0 54 + -18r = -72 + 0 54 + -18r = -72 Add '-54' to each side of the equation. 54 + -54 + -18r = -72 + -54 Combine like terms: 54 + -54 = 0 0 + -18r = -72 + -54 -18r = -72 + -54 Combine like terms: -72 + -54 = -126 -18r = -126 Divide each side by '-18'. r = 7 Simplifying r = 7
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