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Simplifying -5r + 12 = -2r + 4 + -2r Reorder the terms: 12 + -5r = -2r + 4 + -2r Reorder the terms: 12 + -5r = 4 + -2r + -2r Combine like terms: -2r + -2r = -4r 12 + -5r = 4 + -4r Solving 12 + -5r = 4 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 12 + -5r + 4r = 4 + -4r + 4r Combine like terms: -5r + 4r = -1r 12 + -1r = 4 + -4r + 4r Combine like terms: -4r + 4r = 0 12 + -1r = 4 + 0 12 + -1r = 4 Add '-12' to each side of the equation. 12 + -12 + -1r = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1r = 4 + -12 -1r = 4 + -12 Combine like terms: 4 + -12 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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