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Simplifying -6r + -10 = 3r + 8 Reorder the terms: -10 + -6r = 3r + 8 Reorder the terms: -10 + -6r = 8 + 3r Solving -10 + -6r = 8 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -10 + -6r + -3r = 8 + 3r + -3r Combine like terms: -6r + -3r = -9r -10 + -9r = 8 + 3r + -3r Combine like terms: 3r + -3r = 0 -10 + -9r = 8 + 0 -10 + -9r = 8 Add '10' to each side of the equation. -10 + 10 + -9r = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -9r = 8 + 10 -9r = 8 + 10 Combine like terms: 8 + 10 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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