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Simplifying -5(5r + 9) + 5(r + -6) = 0 Reorder the terms: -5(9 + 5r) + 5(r + -6) = 0 (9 * -5 + 5r * -5) + 5(r + -6) = 0 (-45 + -25r) + 5(r + -6) = 0 Reorder the terms: -45 + -25r + 5(-6 + r) = 0 -45 + -25r + (-6 * 5 + r * 5) = 0 -45 + -25r + (-30 + 5r) = 0 Reorder the terms: -45 + -30 + -25r + 5r = 0 Combine like terms: -45 + -30 = -75 -75 + -25r + 5r = 0 Combine like terms: -25r + 5r = -20r -75 + -20r = 0 Solving -75 + -20r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -20r = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -20r = 0 + 75 -20r = 0 + 75 Combine like terms: 0 + 75 = 75 -20r = 75 Divide each side by '-20'. r = -3.75 Simplifying r = -3.75
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