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Simplifying 3 + -10r = 2r + -9 Reorder the terms: 3 + -10r = -9 + 2r Solving 3 + -10r = -9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 3 + -10r + -2r = -9 + 2r + -2r Combine like terms: -10r + -2r = -12r 3 + -12r = -9 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + -12r = -9 + 0 3 + -12r = -9 Add '-3' to each side of the equation. 3 + -3 + -12r = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -12r = -9 + -3 -12r = -9 + -3 Combine like terms: -9 + -3 = -12 -12r = -12 Divide each side by '-12'. r = 1 Simplifying r = 1
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