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Simplifying -21 + -5r = 8(7r + 5) Reorder the terms: -21 + -5r = 8(5 + 7r) -21 + -5r = (5 * 8 + 7r * 8) -21 + -5r = (40 + 56r) Solving -21 + -5r = 40 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. -21 + -5r + -56r = 40 + 56r + -56r Combine like terms: -5r + -56r = -61r -21 + -61r = 40 + 56r + -56r Combine like terms: 56r + -56r = 0 -21 + -61r = 40 + 0 -21 + -61r = 40 Add '21' to each side of the equation. -21 + 21 + -61r = 40 + 21 Combine like terms: -21 + 21 = 0 0 + -61r = 40 + 21 -61r = 40 + 21 Combine like terms: 40 + 21 = 61 -61r = 61 Divide each side by '-61'. r = -1 Simplifying r = -1
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