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Simplifying 2r + 8 = 6r + 10 Reorder the terms: 8 + 2r = 6r + 10 Reorder the terms: 8 + 2r = 10 + 6r Solving 8 + 2r = 10 + 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. 8 + 2r + -6r = 10 + 6r + -6r Combine like terms: 2r + -6r = -4r 8 + -4r = 10 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + -4r = 10 + 0 8 + -4r = 10 Add '-8' to each side of the equation. 8 + -8 + -4r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = 10 + -8 -4r = 10 + -8 Combine like terms: 10 + -8 = 2 -4r = 2 Divide each side by '-4'. r = -0.5 Simplifying r = -0.5
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