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Simplifying -4(2r + 9) = 18 + 8r Reorder the terms: -4(9 + 2r) = 18 + 8r (9 * -4 + 2r * -4) = 18 + 8r (-36 + -8r) = 18 + 8r Solving -36 + -8r = 18 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -36 + -8r + -8r = 18 + 8r + -8r Combine like terms: -8r + -8r = -16r -36 + -16r = 18 + 8r + -8r Combine like terms: 8r + -8r = 0 -36 + -16r = 18 + 0 -36 + -16r = 18 Add '36' to each side of the equation. -36 + 36 + -16r = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -16r = 18 + 36 -16r = 18 + 36 Combine like terms: 18 + 36 = 54 -16r = 54 Divide each side by '-16'. r = -3.375 Simplifying r = -3.375
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