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Simplifying 8(r + -9) + -5(r + -5) = -32 Reorder the terms: 8(-9 + r) + -5(r + -5) = -32 (-9 * 8 + r * 8) + -5(r + -5) = -32 (-72 + 8r) + -5(r + -5) = -32 Reorder the terms: -72 + 8r + -5(-5 + r) = -32 -72 + 8r + (-5 * -5 + r * -5) = -32 -72 + 8r + (25 + -5r) = -32 Reorder the terms: -72 + 25 + 8r + -5r = -32 Combine like terms: -72 + 25 = -47 -47 + 8r + -5r = -32 Combine like terms: 8r + -5r = 3r -47 + 3r = -32 Solving -47 + 3r = -32 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 3r = -32 + 47 Combine like terms: -47 + 47 = 0 0 + 3r = -32 + 47 3r = -32 + 47 Combine like terms: -32 + 47 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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