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Simplifying 4r + -12 = -5r + 51 Reorder the terms: -12 + 4r = -5r + 51 Reorder the terms: -12 + 4r = 51 + -5r Solving -12 + 4r = 51 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -12 + 4r + 5r = 51 + -5r + 5r Combine like terms: 4r + 5r = 9r -12 + 9r = 51 + -5r + 5r Combine like terms: -5r + 5r = 0 -12 + 9r = 51 + 0 -12 + 9r = 51 Add '12' to each side of the equation. -12 + 12 + 9r = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9r = 51 + 12 9r = 51 + 12 Combine like terms: 51 + 12 = 63 9r = 63 Divide each side by '9'. r = 7 Simplifying r = 7
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