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Simplifying 8r + -16 + 6 = 2r + 2 Reorder the terms: -16 + 6 + 8r = 2r + 2 Combine like terms: -16 + 6 = -10 -10 + 8r = 2r + 2 Reorder the terms: -10 + 8r = 2 + 2r Solving -10 + 8r = 2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -10 + 8r + -2r = 2 + 2r + -2r Combine like terms: 8r + -2r = 6r -10 + 6r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 6r = 2 + 0 -10 + 6r = 2 Add '10' to each side of the equation. -10 + 10 + 6r = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6r = 2 + 10 6r = 2 + 10 Combine like terms: 2 + 10 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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