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Simplifying 7r + -3 = 12r + 7 Reorder the terms: -3 + 7r = 12r + 7 Reorder the terms: -3 + 7r = 7 + 12r Solving -3 + 7r = 7 + 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 + 7r + -12r = 7 + 12r + -12r Combine like terms: 7r + -12r = -5r -3 + -5r = 7 + 12r + -12r Combine like terms: 12r + -12r = 0 -3 + -5r = 7 + 0 -3 + -5r = 7 Add '3' to each side of the equation. -3 + 3 + -5r = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -5r = 7 + 3 -5r = 7 + 3 Combine like terms: 7 + 3 = 10 -5r = 10 Divide each side by '-5'. r = -2 Simplifying r = -2
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