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Simplifying -84 = 4(-2r + -5) Reorder the terms: -84 = 4(-5 + -2r) -84 = (-5 * 4 + -2r * 4) -84 = (-20 + -8r) Solving -84 = -20 + -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. -84 + 8r = -20 + -8r + 8r Combine like terms: -8r + 8r = 0 -84 + 8r = -20 + 0 -84 + 8r = -20 Add '84' to each side of the equation. -84 + 84 + 8r = -20 + 84 Combine like terms: -84 + 84 = 0 0 + 8r = -20 + 84 8r = -20 + 84 Combine like terms: -20 + 84 = 64 8r = 64 Divide each side by '8'. r = 8 Simplifying r = 8
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