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Simplifying -4r + 9 = 12r + -7 Reorder the terms: 9 + -4r = 12r + -7 Reorder the terms: 9 + -4r = -7 + 12r Solving 9 + -4r = -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. 9 + -4r + -12r = -7 + 12r + -12r Combine like terms: -4r + -12r = -16r 9 + -16r = -7 + 12r + -12r Combine like terms: 12r + -12r = 0 9 + -16r = -7 + 0 9 + -16r = -7 Add '-9' to each side of the equation. 9 + -9 + -16r = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -16r = -7 + -9 -16r = -7 + -9 Combine like terms: -7 + -9 = -16 -16r = -16 Divide each side by '-16'. r = 1 Simplifying r = 1
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