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Simplifying 5r + -12 = -28 + 7r Reorder the terms: -12 + 5r = -28 + 7r Solving -12 + 5r = -28 + 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 = -28 + 7r + -7r Combine like terms: 5r + -7r = -2r -12 + -2r = -28 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + -2r = -28 + 0 -12 + -2r = -28 Add '12' to each side of the equation. -12 + 12 + -2r = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -2r = -28 + 12 -2r = -28 + 12 Combine like terms: -28 + 12 = -16 -2r = -16 Divide each side by '-2'. r = 8 Simplifying r = 8
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