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Simplifying -4(8r + 7) + 9(3r + 4) = 0 Reorder the terms: -4(7 + 8r) + 9(3r + 4) = 0 (7 * -4 + 8r * -4) + 9(3r + 4) = 0 (-28 + -32r) + 9(3r + 4) = 0 Reorder the terms: -28 + -32r + 9(4 + 3r) = 0 -28 + -32r + (4 * 9 + 3r * 9) = 0 -28 + -32r + (36 + 27r) = 0 Reorder the terms: -28 + 36 + -32r + 27r = 0 Combine like terms: -28 + 36 = 8 8 + -32r + 27r = 0 Combine like terms: -32r + 27r = -5r 8 + -5r = 0 Solving 8 + -5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5r = 0 + -8 -5r = 0 + -8 Combine like terms: 0 + -8 = -8 -5r = -8 Divide each side by '-5'. r = 1.6 Simplifying r = 1.6
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