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Simplifying 4(5r + 2) = -16 + 8r Reorder the terms: 4(2 + 5r) = -16 + 8r (2 * 4 + 5r * 4) = -16 + 8r (8 + 20r) = -16 + 8r Solving 8 + 20r = -16 + 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. 8 + 20r + -8r = -16 + 8r + -8r Combine like terms: 20r + -8r = 12r 8 + 12r = -16 + 8r + -8r Combine like terms: 8r + -8r = 0 8 + 12r = -16 + 0 8 + 12r = -16 Add '-8' to each side of the equation. 8 + -8 + 12r = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 12r = -16 + -8 12r = -16 + -8 Combine like terms: -16 + -8 = -24 12r = -24 Divide each side by '12'. r = -2 Simplifying r = -2
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