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Simplifying 5(r + -6) + 5 = 6(r + 3) + -26 Reorder the terms: 5(-6 + r) + 5 = 6(r + 3) + -26 (-6 * 5 + r * 5) + 5 = 6(r + 3) + -26 (-30 + 5r) + 5 = 6(r + 3) + -26 Reorder the terms: -30 + 5 + 5r = 6(r + 3) + -26 Combine like terms: -30 + 5 = -25 -25 + 5r = 6(r + 3) + -26 Reorder the terms: -25 + 5r = 6(3 + r) + -26 -25 + 5r = (3 * 6 + r * 6) + -26 -25 + 5r = (18 + 6r) + -26 Reorder the terms: -25 + 5r = 18 + -26 + 6r Combine like terms: 18 + -26 = -8 -25 + 5r = -8 + 6r Solving -25 + 5r = -8 + 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. -25 + 5r + -6r = -8 + 6r + -6r Combine like terms: 5r + -6r = -1r -25 + -1r = -8 + 6r + -6r Combine like terms: 6r + -6r = 0 -25 + -1r = -8 + 0 -25 + -1r = -8 Add '25' to each side of the equation. -25 + 25 + -1r = -8 + 25 Combine like terms: -25 + 25 = 0 0 + -1r = -8 + 25 -1r = -8 + 25 Combine like terms: -8 + 25 = 17 -1r = 17 Divide each side by '-1'. r = -17 Simplifying r = -17
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