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Simplifying 8(r + 5) + 7(2r + 10) = 0 Reorder the terms: 8(5 + r) + 7(2r + 10) = 0 (5 * 8 + r * 8) + 7(2r + 10) = 0 (40 + 8r) + 7(2r + 10) = 0 Reorder the terms: 40 + 8r + 7(10 + 2r) = 0 40 + 8r + (10 * 7 + 2r * 7) = 0 40 + 8r + (70 + 14r) = 0 Reorder the terms: 40 + 70 + 8r + 14r = 0 Combine like terms: 40 + 70 = 110 110 + 8r + 14r = 0 Combine like terms: 8r + 14r = 22r 110 + 22r = 0 Solving 110 + 22r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + 22r = 0 + -110 Combine like terms: 110 + -110 = 0 0 + 22r = 0 + -110 22r = 0 + -110 Combine like terms: 0 + -110 = -110 22r = -110 Divide each side by '22'. r = -5 Simplifying r = -5
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