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Simplifying (2r * 3) + 4 = (-1r + 9) + (29 * 2) Reorder the terms for easier multiplication: (2 * 3r) + 4 = (-1r + 9) + (29 * 2) Multiply 2 * 3 (6r) + 4 = (-1r + 9) + (29 * 2) Reorder the terms: 4 + (6r) = (-1r + 9) + (29 * 2) Reorder the terms: 4 + (6r) = (9 + -1r) + (29 * 2) Remove parenthesis around (9 + -1r) 4 + (6r) = 9 + -1r + (29 * 2) Multiply 29 * 2 4 + (6r) = 9 + -1r + (58) 4 + (6r) = 9 + -1r + 58 Reorder the terms: 4 + (6r) = 9 + 58 + -1r Combine like terms: 9 + 58 = 67 4 + (6r) = 67 + -1r Solving 4 + (6r) = 67 + -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. 4 + (6r) + r = 67 + -1r + r Combine like terms: (6r) + r = 7r 4 + 7r = 67 + -1r + r Combine like terms: -1r + r = 0 4 + 7r = 67 + 0 4 + 7r = 67 Add '-4' to each side of the equation. 4 + -4 + 7r = 67 + -4 Combine like terms: 4 + -4 = 0 0 + 7r = 67 + -4 7r = 67 + -4 Combine like terms: 67 + -4 = 63 7r = 63 Divide each side by '7'. r = 9 Simplifying r = 9
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