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Simplifying 6 + 7r = -9 + 10r Solving 6 + 7r = -9 + 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. 6 + 7r + -10r = -9 + 10r + -10r Combine like terms: 7r + -10r = -3r 6 + -3r = -9 + 10r + -10r Combine like terms: 10r + -10r = 0 6 + -3r = -9 + 0 6 + -3r = -9 Add '-6' to each side of the equation. 6 + -6 + -3r = -9 + -6 Combine like terms: 6 + -6 = 0 0 + -3r = -9 + -6 -3r = -9 + -6 Combine like terms: -9 + -6 = -15 -3r = -15 Divide each side by '-3'. r = 5 Simplifying r = 5
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