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Simplifying 2r + 6 = 12r + 11 Reorder the terms: 6 + 2r = 12r + 11 Reorder the terms: 6 + 2r = 11 + 12r Solving 6 + 2r = 11 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 6 + 2r + -12r = 11 + 12r + -12r Combine like terms: 2r + -12r = -10r 6 + -10r = 11 + 12r + -12r Combine like terms: 12r + -12r = 0 6 + -10r = 11 + 0 6 + -10r = 11 Add '-6' to each side of the equation. 6 + -6 + -10r = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -10r = 11 + -6 -10r = 11 + -6 Combine like terms: 11 + -6 = 5 -10r = 5 Divide each side by '-10'. r = -0.5 Simplifying r = -0.5
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