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Simplifying -25 = -1(-5r + 5) + -10(5r + 2) Reorder the terms: -25 = -1(5 + -5r) + -10(5r + 2) -25 = (5 * -1 + -5r * -1) + -10(5r + 2) -25 = (-5 + 5r) + -10(5r + 2) Reorder the terms: -25 = -5 + 5r + -10(2 + 5r) -25 = -5 + 5r + (2 * -10 + 5r * -10) -25 = -5 + 5r + (-20 + -50r) Reorder the terms: -25 = -5 + -20 + 5r + -50r Combine like terms: -5 + -20 = -25 -25 = -25 + 5r + -50r Combine like terms: 5r + -50r = -45r -25 = -25 + -45r Add '25' to each side of the equation. -25 + 25 = -25 + 25 + -45r Combine like terms: -25 + 25 = 0 0 = -25 + 25 + -45r Combine like terms: -25 + 25 = 0 0 = 0 + -45r 0 = -45r Solving 0 = -45r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '45r' to each side of the equation. 0 + 45r = -45r + 45r Remove the zero: 45r = -45r + 45r Combine like terms: -45r + 45r = 0 45r = 0 Divide each side by '45'. r = 0 Simplifying r = 0
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