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Simplifying -7r + 10 = 5 + -6r Reorder the terms: 10 + -7r = 5 + -6r Solving 10 + -7r = 5 + -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. 10 + -7r + 6r = 5 + -6r + 6r Combine like terms: -7r + 6r = -1r 10 + -1r = 5 + -6r + 6r Combine like terms: -6r + 6r = 0 10 + -1r = 5 + 0 10 + -1r = 5 Add '-10' to each side of the equation. 10 + -10 + -1r = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1r = 5 + -10 -1r = 5 + -10 Combine like terms: 5 + -10 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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