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Simplifying -4(7r + 8) + 6(7r + 8) = 0 Reorder the terms: -4(8 + 7r) + 6(7r + 8) = 0 (8 * -4 + 7r * -4) + 6(7r + 8) = 0 (-32 + -28r) + 6(7r + 8) = 0 Reorder the terms: -32 + -28r + 6(8 + 7r) = 0 -32 + -28r + (8 * 6 + 7r * 6) = 0 -32 + -28r + (48 + 42r) = 0 Reorder the terms: -32 + 48 + -28r + 42r = 0 Combine like terms: -32 + 48 = 16 16 + -28r + 42r = 0 Combine like terms: -28r + 42r = 14r 16 + 14r = 0 Solving 16 + 14r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 14r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 14r = 0 + -16 14r = 0 + -16 Combine like terms: 0 + -16 = -16 14r = -16 Divide each side by '14'. r = -1.142857143 Simplifying r = -1.142857143
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