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Simplifying 12 + 5(r + -5) + 3r = 0 Reorder the terms: 12 + 5(-5 + r) + 3r = 0 12 + (-5 * 5 + r * 5) + 3r = 0 12 + (-25 + 5r) + 3r = 0 Combine like terms: 12 + -25 = -13 -13 + 5r + 3r = 0 Combine like terms: 5r + 3r = 8r -13 + 8r = 0 Solving -13 + 8r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8r = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 8r = 0 + 13 8r = 0 + 13 Combine like terms: 0 + 13 = 13 8r = 13 Divide each side by '8'. r = 1.625 Simplifying r = 1.625
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