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Simplifying 5r + -12 = 7r Reorder the terms: -12 + 5r = 7r Solving -12 + 5r = 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -12 + 5r + -7r = 7r + -7r Combine like terms: 5r + -7r = -2r -12 + -2r = 7r + -7r Combine like terms: 7r + -7r = 0 -12 + -2r = 0 Add '12' to each side of the equation. -12 + 12 + -2r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2r = 0 + 12 -2r = 0 + 12 Combine like terms: 0 + 12 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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