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Simplifying 8(-4 + -1r) = -9 + -3r (-4 * 8 + -1r * 8) = -9 + -3r (-32 + -8r) = -9 + -3r Solving -32 + -8r = -9 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -32 + -8r + 3r = -9 + -3r + 3r Combine like terms: -8r + 3r = -5r -32 + -5r = -9 + -3r + 3r Combine like terms: -3r + 3r = 0 -32 + -5r = -9 + 0 -32 + -5r = -9 Add '32' to each side of the equation. -32 + 32 + -5r = -9 + 32 Combine like terms: -32 + 32 = 0 0 + -5r = -9 + 32 -5r = -9 + 32 Combine like terms: -9 + 32 = 23 -5r = 23 Divide each side by '-5'. r = -4.6 Simplifying r = -4.6
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