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Simplifying 6(-5r + -3) + -5(5r + 1) = 32 Reorder the terms: 6(-3 + -5r) + -5(5r + 1) = 32 (-3 * 6 + -5r * 6) + -5(5r + 1) = 32 (-18 + -30r) + -5(5r + 1) = 32 Reorder the terms: -18 + -30r + -5(1 + 5r) = 32 -18 + -30r + (1 * -5 + 5r * -5) = 32 -18 + -30r + (-5 + -25r) = 32 Reorder the terms: -18 + -5 + -30r + -25r = 32 Combine like terms: -18 + -5 = -23 -23 + -30r + -25r = 32 Combine like terms: -30r + -25r = -55r -23 + -55r = 32 Solving -23 + -55r = 32 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 + -55r = 32 + 23 Combine like terms: -23 + 23 = 0 0 + -55r = 32 + 23 -55r = 32 + 23 Combine like terms: 32 + 23 = 55 -55r = 55 Divide each side by '-55'. r = -1 Simplifying r = -1
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