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Simplifying (9r + 7) + -1(3r + 6) = 0 Reorder the terms: (7 + 9r) + -1(3r + 6) = 0 Remove parenthesis around (7 + 9r) 7 + 9r + -1(3r + 6) = 0 Reorder the terms: 7 + 9r + -1(6 + 3r) = 0 7 + 9r + (6 * -1 + 3r * -1) = 0 7 + 9r + (-6 + -3r) = 0 Reorder the terms: 7 + -6 + 9r + -3r = 0 Combine like terms: 7 + -6 = 1 1 + 9r + -3r = 0 Combine like terms: 9r + -3r = 6r 1 + 6r = 0 Solving 1 + 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 0 + -1 6r = 0 + -1 Combine like terms: 0 + -1 = -1 6r = -1 Divide each side by '6'. r = -0.1666666667 Simplifying r = -0.1666666667
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