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Simplifying 4(2r + 6) + 7r + 3 = 0 Reorder the terms: 4(6 + 2r) + 7r + 3 = 0 (6 * 4 + 2r * 4) + 7r + 3 = 0 (24 + 8r) + 7r + 3 = 0 Reorder the terms: 24 + 3 + 8r + 7r = 0 Combine like terms: 24 + 3 = 27 27 + 8r + 7r = 0 Combine like terms: 8r + 7r = 15r 27 + 15r = 0 Solving 27 + 15r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 15r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 15r = 0 + -27 15r = 0 + -27 Combine like terms: 0 + -27 = -27 15r = -27 Divide each side by '15'. r = -1.8 Simplifying r = -1.8
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