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Simplifying 7r + -4(5r + -6) = -32 + -6r Reorder the terms: 7r + -4(-6 + 5r) = -32 + -6r 7r + (-6 * -4 + 5r * -4) = -32 + -6r 7r + (24 + -20r) = -32 + -6r Reorder the terms: 24 + 7r + -20r = -32 + -6r Combine like terms: 7r + -20r = -13r 24 + -13r = -32 + -6r Solving 24 + -13r = -32 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 24 + -13r + 6r = -32 + -6r + 6r Combine like terms: -13r + 6r = -7r 24 + -7r = -32 + -6r + 6r Combine like terms: -6r + 6r = 0 24 + -7r = -32 + 0 24 + -7r = -32 Add '-24' to each side of the equation. 24 + -24 + -7r = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -7r = -32 + -24 -7r = -32 + -24 Combine like terms: -32 + -24 = -56 -7r = -56 Divide each side by '-7'. r = 8 Simplifying r = 8
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