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Simplifying 6(r + 3) + 2(r + 5) + 10 = 0 Reorder the terms: 6(3 + r) + 2(r + 5) + 10 = 0 (3 * 6 + r * 6) + 2(r + 5) + 10 = 0 (18 + 6r) + 2(r + 5) + 10 = 0 Reorder the terms: 18 + 6r + 2(5 + r) + 10 = 0 18 + 6r + (5 * 2 + r * 2) + 10 = 0 18 + 6r + (10 + 2r) + 10 = 0 Reorder the terms: 18 + 10 + 10 + 6r + 2r = 0 Combine like terms: 18 + 10 = 28 28 + 10 + 6r + 2r = 0 Combine like terms: 28 + 10 = 38 38 + 6r + 2r = 0 Combine like terms: 6r + 2r = 8r 38 + 8r = 0 Solving 38 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 8r = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 8r = 0 + -38 8r = 0 + -38 Combine like terms: 0 + -38 = -38 8r = -38 Divide each side by '8'. r = -4.75 Simplifying r = -4.75
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