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Simplifying -6(5r + 2) + 7(3r + 5) = -13 Reorder the terms: -6(2 + 5r) + 7(3r + 5) = -13 (2 * -6 + 5r * -6) + 7(3r + 5) = -13 (-12 + -30r) + 7(3r + 5) = -13 Reorder the terms: -12 + -30r + 7(5 + 3r) = -13 -12 + -30r + (5 * 7 + 3r * 7) = -13 -12 + -30r + (35 + 21r) = -13 Reorder the terms: -12 + 35 + -30r + 21r = -13 Combine like terms: -12 + 35 = 23 23 + -30r + 21r = -13 Combine like terms: -30r + 21r = -9r 23 + -9r = -13 Solving 23 + -9r = -13 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -9r = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -9r = -13 + -23 -9r = -13 + -23 Combine like terms: -13 + -23 = -36 -9r = -36 Divide each side by '-9'. r = 4 Simplifying r = 4
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