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Simplifying 3(-1r + 3) + -7(2r + -5) = 0 Reorder the terms: 3(3 + -1r) + -7(2r + -5) = 0 (3 * 3 + -1r * 3) + -7(2r + -5) = 0 (9 + -3r) + -7(2r + -5) = 0 Reorder the terms: 9 + -3r + -7(-5 + 2r) = 0 9 + -3r + (-5 * -7 + 2r * -7) = 0 9 + -3r + (35 + -14r) = 0 Reorder the terms: 9 + 35 + -3r + -14r = 0 Combine like terms: 9 + 35 = 44 44 + -3r + -14r = 0 Combine like terms: -3r + -14r = -17r 44 + -17r = 0 Solving 44 + -17r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -17r = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -17r = 0 + -44 -17r = 0 + -44 Combine like terms: 0 + -44 = -44 -17r = -44 Divide each side by '-17'. r = 2.588235294 Simplifying r = 2.588235294
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