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Simplifying 5(1 + -5r) = 5 + -1r (1 * 5 + -5r * 5) = 5 + -1r (5 + -25r) = 5 + -1r Add '-5' to each side of the equation. 5 + -5 + -25r = 5 + -5 + -1r Combine like terms: 5 + -5 = 0 0 + -25r = 5 + -5 + -1r -25r = 5 + -5 + -1r Combine like terms: 5 + -5 = 0 -25r = 0 + -1r -25r = -1r Solving -25r = -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -25r + r = -1r + r Combine like terms: -25r + r = -24r -24r = -1r + r Combine like terms: -1r + r = 0 -24r = 0 Divide each side by '-24'. r = 0 Simplifying r = 0
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