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Simplifying -3(-5r + -7) = -21 + 8r Reorder the terms: -3(-7 + -5r) = -21 + 8r (-7 * -3 + -5r * -3) = -21 + 8r (21 + 15r) = -21 + 8r Solving 21 + 15r = -21 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 21 + 15r + -8r = -21 + 8r + -8r Combine like terms: 15r + -8r = 7r 21 + 7r = -21 + 8r + -8r Combine like terms: 8r + -8r = 0 21 + 7r = -21 + 0 21 + 7r = -21 Add '-21' to each side of the equation. 21 + -21 + 7r = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 7r = -21 + -21 7r = -21 + -21 Combine like terms: -21 + -21 = -42 7r = -42 Divide each side by '7'. r = -6 Simplifying r = -6
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