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Simplifying 10r + -6 = 2r + 10 Reorder the terms: -6 + 10r = 2r + 10 Reorder the terms: -6 + 10r = 10 + 2r Solving -6 + 10r = 10 + 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. -6 + 10r + -2r = 10 + 2r + -2r Combine like terms: 10r + -2r = 8r -6 + 8r = 10 + 2r + -2r Combine like terms: 2r + -2r = 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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