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Simplifying -5r + 9 = -6 + 10r Reorder the terms: 9 + -5r = -6 + 10r Solving 9 + -5r = -6 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 9 + -5r + -10r = -6 + 10r + -10r Combine like terms: -5r + -10r = -15r 9 + -15r = -6 + 10r + -10r Combine like terms: 10r + -10r = 0 9 + -15r = -6 + 0 9 + -15r = -6 Add '-9' to each side of the equation. 9 + -9 + -15r = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -15r = -6 + -9 -15r = -6 + -9 Combine like terms: -6 + -9 = -15 -15r = -15 Divide each side by '-15'. r = 1 Simplifying r = 1
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