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Simplifying -7(10r + 2) + 9(8r + 7) = 0 Reorder the terms: -7(2 + 10r) + 9(8r + 7) = 0 (2 * -7 + 10r * -7) + 9(8r + 7) = 0 (-14 + -70r) + 9(8r + 7) = 0 Reorder the terms: -14 + -70r + 9(7 + 8r) = 0 -14 + -70r + (7 * 9 + 8r * 9) = 0 -14 + -70r + (63 + 72r) = 0 Reorder the terms: -14 + 63 + -70r + 72r = 0 Combine like terms: -14 + 63 = 49 49 + -70r + 72r = 0 Combine like terms: -70r + 72r = 2r 49 + 2r = 0 Solving 49 + 2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 2r = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 2r = 0 + -49 2r = 0 + -49 Combine like terms: 0 + -49 = -49 2r = -49 Divide each side by '2'. r = -24.5 Simplifying r = -24.5
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