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Simplifying 2r + -4 + 6r = 2 + 10r Reorder the terms: -4 + 2r + 6r = 2 + 10r Combine like terms: 2r + 6r = 8r -4 + 8r = 2 + 10r Solving -4 + 8r = 2 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -4 + 8r + -10r = 2 + 10r + -10r Combine like terms: 8r + -10r = -2r -4 + -2r = 2 + 10r + -10r Combine like terms: 10r + -10r = 0 -4 + -2r = 2 + 0 -4 + -2r = 2 Add '4' to each side of the equation. -4 + 4 + -2r = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -2r = 2 + 4 -2r = 2 + 4 Combine like terms: 2 + 4 = 6 -2r = 6 Divide each side by '-2'. r = -3 Simplifying r = -3
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