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Simplifying -9(9r + 5) + 11r = -5(9 + 5r) Reorder the terms: -9(5 + 9r) + 11r = -5(9 + 5r) (5 * -9 + 9r * -9) + 11r = -5(9 + 5r) (-45 + -81r) + 11r = -5(9 + 5r) Combine like terms: -81r + 11r = -70r -45 + -70r = -5(9 + 5r) -45 + -70r = (9 * -5 + 5r * -5) -45 + -70r = (-45 + -25r) Add '45' to each side of the equation. -45 + 45 + -70r = -45 + 45 + -25r Combine like terms: -45 + 45 = 0 0 + -70r = -45 + 45 + -25r -70r = -45 + 45 + -25r Combine like terms: -45 + 45 = 0 -70r = 0 + -25r -70r = -25r Solving -70r = -25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '25r' to each side of the equation. -70r + 25r = -25r + 25r Combine like terms: -70r + 25r = -45r -45r = -25r + 25r Combine like terms: -25r + 25r = 0 -45r = 0 Divide each side by '-45'. r = 0 Simplifying r = 0
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