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Simplifying -8(r + -4) = -1 + 3r Reorder the terms: -8(-4 + r) = -1 + 3r (-4 * -8 + r * -8) = -1 + 3r (32 + -8r) = -1 + 3r Solving 32 + -8r = -1 + 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 = -1 + 3r + -3r Combine like terms: -8r + -3r = -11r 32 + -11r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 32 + -11r = -1 + 0 32 + -11r = -1 Add '-32' to each side of the equation. 32 + -32 + -11r = -1 + -32 Combine like terms: 32 + -32 = 0 0 + -11r = -1 + -32 -11r = -1 + -32 Combine like terms: -1 + -32 = -33 -11r = -33 Divide each side by '-11'. r = 3 Simplifying r = 3
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