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Simplifying -5r + 5(-8r + 5) = -21 + r Reorder the terms: -5r + 5(5 + -8r) = -21 + r -5r + (5 * 5 + -8r * 5) = -21 + r -5r + (25 + -40r) = -21 + r Reorder the terms: 25 + -5r + -40r = -21 + r Combine like terms: -5r + -40r = -45r 25 + -45r = -21 + r Solving 25 + -45r = -21 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 25 + -45r + -1r = -21 + r + -1r Combine like terms: -45r + -1r = -46r 25 + -46r = -21 + r + -1r Combine like terms: r + -1r = 0 25 + -46r = -21 + 0 25 + -46r = -21 Add '-25' to each side of the equation. 25 + -25 + -46r = -21 + -25 Combine like terms: 25 + -25 = 0 0 + -46r = -21 + -25 -46r = -21 + -25 Combine like terms: -21 + -25 = -46 -46r = -46 Divide each side by '-46'. r = 1 Simplifying r = 1
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