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Simplifying -4(7r + -6) + -1r = -5 Reorder the terms: -4(-6 + 7r) + -1r = -5 (-6 * -4 + 7r * -4) + -1r = -5 (24 + -28r) + -1r = -5 Combine like terms: -28r + -1r = -29r 24 + -29r = -5 Solving 24 + -29r = -5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -29r = -5 + -24 Combine like terms: 24 + -24 = 0 0 + -29r = -5 + -24 -29r = -5 + -24 Combine like terms: -5 + -24 = -29 -29r = -29 Divide each side by '-29'. r = 1 Simplifying r = 1
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