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Simplifying 9(2r + -1) = 8(4r + 12) Reorder the terms: 9(-1 + 2r) = 8(4r + 12) (-1 * 9 + 2r * 9) = 8(4r + 12) (-9 + 18r) = 8(4r + 12) Reorder the terms: -9 + 18r = 8(12 + 4r) -9 + 18r = (12 * 8 + 4r * 8) -9 + 18r = (96 + 32r) Solving -9 + 18r = 96 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -9 + 18r + -32r = 96 + 32r + -32r Combine like terms: 18r + -32r = -14r -9 + -14r = 96 + 32r + -32r Combine like terms: 32r + -32r = 0 -9 + -14r = 96 + 0 -9 + -14r = 96 Add '9' to each side of the equation. -9 + 9 + -14r = 96 + 9 Combine like terms: -9 + 9 = 0 0 + -14r = 96 + 9 -14r = 96 + 9 Combine like terms: 96 + 9 = 105 -14r = 105 Divide each side by '-14'. r = -7.5 Simplifying r = -7.5
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