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Simplifying 5(r + -9) + 2 = 6(r + 2) + -26 Reorder the terms: 5(-9 + r) + 2 = 6(r + 2) + -26 (-9 * 5 + r * 5) + 2 = 6(r + 2) + -26 (-45 + 5r) + 2 = 6(r + 2) + -26 Reorder the terms: -45 + 2 + 5r = 6(r + 2) + -26 Combine like terms: -45 + 2 = -43 -43 + 5r = 6(r + 2) + -26 Reorder the terms: -43 + 5r = 6(2 + r) + -26 -43 + 5r = (2 * 6 + r * 6) + -26 -43 + 5r = (12 + 6r) + -26 Reorder the terms: -43 + 5r = 12 + -26 + 6r Combine like terms: 12 + -26 = -14 -43 + 5r = -14 + 6r Solving -43 + 5r = -14 + 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. -43 + 5r + -6r = -14 + 6r + -6r Combine like terms: 5r + -6r = -1r -43 + -1r = -14 + 6r + -6r Combine like terms: 6r + -6r = 0 -43 + -1r = -14 + 0 -43 + -1r = -14 Add '43' to each side of the equation. -43 + 43 + -1r = -14 + 43 Combine like terms: -43 + 43 = 0 0 + -1r = -14 + 43 -1r = -14 + 43 Combine like terms: -14 + 43 = 29 -1r = 29 Divide each side by '-1'. r = -29 Simplifying r = -29
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