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Simplifying (4r + 6) * 3 = 41 + -1r + 16 Reorder the terms: (6 + 4r) * 3 = 41 + -1r + 16 Reorder the terms for easier multiplication: 3(6 + 4r) = 41 + -1r + 16 (6 * 3 + 4r * 3) = 41 + -1r + 16 (18 + 12r) = 41 + -1r + 16 Reorder the terms: 18 + 12r = 41 + 16 + -1r Combine like terms: 41 + 16 = 57 18 + 12r = 57 + -1r Solving 18 + 12r = 57 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 18 + 12r + r = 57 + -1r + r Combine like terms: 12r + r = 13r 18 + 13r = 57 + -1r + r Combine like terms: -1r + r = 0 18 + 13r = 57 + 0 18 + 13r = 57 Add '-18' to each side of the equation. 18 + -18 + 13r = 57 + -18 Combine like terms: 18 + -18 = 0 0 + 13r = 57 + -18 13r = 57 + -18 Combine like terms: 57 + -18 = 39 13r = 39 Divide each side by '13'. r = 3 Simplifying r = 3
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