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Simplifying 2r + 8 = 12r + 13 Reorder the terms: 8 + 2r = 12r + 13 Reorder the terms: 8 + 2r = 13 + 12r Solving 8 + 2r = 13 + 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. 8 + 2r + -12r = 13 + 12r + -12r Combine like terms: 2r + -12r = -10r 8 + -10r = 13 + 12r + -12r Combine like terms: 12r + -12r = 0 8 + -10r = 13 + 0 8 + -10r = 13 Add '-8' to each side of the equation. 8 + -8 + -10r = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -10r = 13 + -8 -10r = 13 + -8 Combine like terms: 13 + -8 = 5 -10r = 5 Divide each side by '-10'. r = -0.5 Simplifying r = -0.5
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