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Simplifying -205 = -5(5r + 6) Reorder the terms: -205 = -5(6 + 5r) -205 = (6 * -5 + 5r * -5) -205 = (-30 + -25r) Solving -205 = -30 + -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. -205 + 25r = -30 + -25r + 25r Combine like terms: -25r + 25r = 0 -205 + 25r = -30 + 0 -205 + 25r = -30 Add '205' to each side of the equation. -205 + 205 + 25r = -30 + 205 Combine like terms: -205 + 205 = 0 0 + 25r = -30 + 205 25r = -30 + 205 Combine like terms: -30 + 205 = 175 25r = 175 Divide each side by '25'. r = 7 Simplifying r = 7
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