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Simplifying 2(-5r + -4) = 2 + -5r Reorder the terms: 2(-4 + -5r) = 2 + -5r (-4 * 2 + -5r * 2) = 2 + -5r (-8 + -10r) = 2 + -5r Solving -8 + -10r = 2 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -8 + -10r + 5r = 2 + -5r + 5r Combine like terms: -10r + 5r = -5r -8 + -5r = 2 + -5r + 5r Combine like terms: -5r + 5r = 0 -8 + -5r = 2 + 0 -8 + -5r = 2 Add '8' to each side of the equation. -8 + 8 + -5r = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 2 + 8 -5r = 2 + 8 Combine like terms: 2 + 8 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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