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Simplifying -5(-2 + -4r) + 8 = 30 + 8r (-2 * -5 + -4r * -5) + 8 = 30 + 8r (10 + 20r) + 8 = 30 + 8r Reorder the terms: 10 + 8 + 20r = 30 + 8r Combine like terms: 10 + 8 = 18 18 + 20r = 30 + 8r Solving 18 + 20r = 30 + 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. 18 + 20r + -8r = 30 + 8r + -8r Combine like terms: 20r + -8r = 12r 18 + 12r = 30 + 8r + -8r Combine like terms: 8r + -8r = 0 18 + 12r = 30 + 0 18 + 12r = 30 Add '-18' to each side of the equation. 18 + -18 + 12r = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 12r = 30 + -18 12r = 30 + -18 Combine like terms: 30 + -18 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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