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Simplifying (10r + 9) + -1(12r + -5) = 0 Reorder the terms: (9 + 10r) + -1(12r + -5) = 0 Remove parenthesis around (9 + 10r) 9 + 10r + -1(12r + -5) = 0 Reorder the terms: 9 + 10r + -1(-5 + 12r) = 0 9 + 10r + (-5 * -1 + 12r * -1) = 0 9 + 10r + (5 + -12r) = 0 Reorder the terms: 9 + 5 + 10r + -12r = 0 Combine like terms: 9 + 5 = 14 14 + 10r + -12r = 0 Combine like terms: 10r + -12r = -2r 14 + -2r = 0 Solving 14 + -2r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -2r = 0 + -14 -2r = 0 + -14 Combine like terms: 0 + -14 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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