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Simplifying -4(7r + 9) = 23 + 5r Reorder the terms: -4(9 + 7r) = 23 + 5r (9 * -4 + 7r * -4) = 23 + 5r (-36 + -28r) = 23 + 5r Solving -36 + -28r = 23 + 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. -36 + -28r + -5r = 23 + 5r + -5r Combine like terms: -28r + -5r = -33r -36 + -33r = 23 + 5r + -5r Combine like terms: 5r + -5r = 0 -36 + -33r = 23 + 0 -36 + -33r = 23 Add '36' to each side of the equation. -36 + 36 + -33r = 23 + 36 Combine like terms: -36 + 36 = 0 0 + -33r = 23 + 36 -33r = 23 + 36 Combine like terms: 23 + 36 = 59 -33r = 59 Divide each side by '-33'. r = -1.787878788 Simplifying r = -1.787878788
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