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Simplifying 12r + 9 + 4 = 10r + -19 Reorder the terms: 9 + 4 + 12r = 10r + -19 Combine like terms: 9 + 4 = 13 13 + 12r = 10r + -19 Reorder the terms: 13 + 12r = -19 + 10r Solving 13 + 12r = -19 + 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. 13 + 12r + -10r = -19 + 10r + -10r Combine like terms: 12r + -10r = 2r 13 + 2r = -19 + 10r + -10r Combine like terms: 10r + -10r = 0 13 + 2r = -19 + 0 13 + 2r = -19 Add '-13' to each side of the equation. 13 + -13 + 2r = -19 + -13 Combine like terms: 13 + -13 = 0 0 + 2r = -19 + -13 2r = -19 + -13 Combine like terms: -19 + -13 = -32 2r = -32 Divide each side by '2'. r = -16 Simplifying r = -16
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