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