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Simplifying 10 + -7r + -18 = 7r + 28 + -5r Reorder the terms: 10 + -18 + -7r = 7r + 28 + -5r Combine like terms: 10 + -18 = -8 -8 + -7r = 7r + 28 + -5r Reorder the terms: -8 + -7r = 28 + 7r + -5r Combine like terms: 7r + -5r = 2r -8 + -7r = 28 + 2r Solving -8 + -7r = 28 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -8 + -7r + -2r = 28 + 2r + -2r Combine like terms: -7r + -2r = -9r -8 + -9r = 28 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + -9r = 28 + 0 -8 + -9r = 28 Add '8' to each side of the equation. -8 + 8 + -9r = 28 + 8 Combine like terms: -8 + 8 = 0 0 + -9r = 28 + 8 -9r = 28 + 8 Combine like terms: 28 + 8 = 36 -9r = 36 Divide each side by '-9'. r = -4 Simplifying r = -4
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