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Simplifying 6 + 12r + -3 = 9r + 93 + -7r Reorder the terms: 6 + -3 + 12r = 9r + 93 + -7r Combine like terms: 6 + -3 = 3 3 + 12r = 9r + 93 + -7r Reorder the terms: 3 + 12r = 93 + 9r + -7r Combine like terms: 9r + -7r = 2r 3 + 12r = 93 + 2r Solving 3 + 12r = 93 + 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 + 12r + -2r = 93 + 2r + -2r Combine like terms: 12r + -2r = 10r 3 + 10r = 93 + 2r + -2r Combine like terms: 2r + -2r = 0 3 + 10r = 93 + 0 3 + 10r = 93 Add '-3' to each side of the equation. 3 + -3 + 10r = 93 + -3 Combine like terms: 3 + -3 = 0 0 + 10r = 93 + -3 10r = 93 + -3 Combine like terms: 93 + -3 = 90 10r = 90 Divide each side by '10'. r = 9 Simplifying r = 9
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