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Simplifying r + 6 = 3r + 6r + -10 Reorder the terms: 6 + r = 3r + 6r + -10 Reorder the terms: 6 + r = -10 + 3r + 6r Combine like terms: 3r + 6r = 9r 6 + r = -10 + 9r Solving 6 + r = -10 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 6 + r + -9r = -10 + 9r + -9r Combine like terms: r + -9r = -8r 6 + -8r = -10 + 9r + -9r Combine like terms: 9r + -9r = 0 6 + -8r = -10 + 0 6 + -8r = -10 Add '-6' to each side of the equation. 6 + -6 + -8r = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8r = -10 + -6 -8r = -10 + -6 Combine like terms: -10 + -6 = -16 -8r = -16 Divide each side by '-8'. r = 2 Simplifying r = 2
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