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Simplifying 3 + 10r = 2r + 10r + 1 Reorder the terms: 3 + 10r = 1 + 2r + 10r Combine like terms: 2r + 10r = 12r 3 + 10r = 1 + 12r Solving 3 + 10r = 1 + 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. 3 + 10r + -12r = 1 + 12r + -12r Combine like terms: 10r + -12r = -2r 3 + -2r = 1 + 12r + -12r Combine like terms: 12r + -12r = 0 3 + -2r = 1 + 0 3 + -2r = 1 Add '-3' to each side of the equation. 3 + -3 + -2r = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 1 + -3 -2r = 1 + -3 Combine like terms: 1 + -3 = -2 -2r = -2 Divide each side by '-2'. r = 1 Simplifying r = 1
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