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Simplifying -3r + -10 = 7 + 10 + -6r Reorder the terms: -10 + -3r = 7 + 10 + -6r Combine like terms: 7 + 10 = 17 -10 + -3r = 17 + -6r Solving -10 + -3r = 17 + -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 + -3r + 6r = 17 + -6r + 6r Combine like terms: -3r + 6r = 3r -10 + 3r = 17 + -6r + 6r Combine like terms: -6r + 6r = 0 -10 + 3r = 17 + 0 -10 + 3r = 17 Add '10' to each side of the equation. -10 + 10 + 3r = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = 17 + 10 3r = 17 + 10 Combine like terms: 17 + 10 = 27 3r = 27 Divide each side by '3'. r = 9 Simplifying r = 9
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