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Simplifying 5(5r + -5) = 5(2r + -5) Reorder the terms: 5(-5 + 5r) = 5(2r + -5) (-5 * 5 + 5r * 5) = 5(2r + -5) (-25 + 25r) = 5(2r + -5) Reorder the terms: -25 + 25r = 5(-5 + 2r) -25 + 25r = (-5 * 5 + 2r * 5) -25 + 25r = (-25 + 10r) Add '25' to each side of the equation. -25 + 25 + 25r = -25 + 25 + 10r Combine like terms: -25 + 25 = 0 0 + 25r = -25 + 25 + 10r 25r = -25 + 25 + 10r Combine like terms: -25 + 25 = 0 25r = 0 + 10r 25r = 10r Solving 25r = 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 25r + -10r = 10r + -10r Combine like terms: 25r + -10r = 15r 15r = 10r + -10r Combine like terms: 10r + -10r = 0 15r = 0 Divide each side by '15'. r = 0 Simplifying r = 0
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