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Simplifying 5(r + -5) + -3(2 + -1r) + 35 = 0 Reorder the terms: 5(-5 + r) + -3(2 + -1r) + 35 = 0 (-5 * 5 + r * 5) + -3(2 + -1r) + 35 = 0 (-25 + 5r) + -3(2 + -1r) + 35 = 0 -25 + 5r + (2 * -3 + -1r * -3) + 35 = 0 -25 + 5r + (-6 + 3r) + 35 = 0 Reorder the terms: -25 + -6 + 35 + 5r + 3r = 0 Combine like terms: -25 + -6 = -31 -31 + 35 + 5r + 3r = 0 Combine like terms: -31 + 35 = 4 4 + 5r + 3r = 0 Combine like terms: 5r + 3r = 8r 4 + 8r = 0 Solving 4 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 8r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8r = 0 + -4 8r = 0 + -4 Combine like terms: 0 + -4 = -4 8r = -4 Divide each side by '8'. r = -0.5 Simplifying r = -0.5
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