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Simplifying 12(r + -2) = (8r + -64) Reorder the terms: 12(-2 + r) = (8r + -64) (-2 * 12 + r * 12) = (8r + -64) (-24 + 12r) = (8r + -64) Reorder the terms: -24 + 12r = (-64 + 8r) Remove parenthesis around (-64 + 8r) -24 + 12r = -64 + 8r Solving -24 + 12r = -64 + 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. -24 + 12r + -8r = -64 + 8r + -8r Combine like terms: 12r + -8r = 4r -24 + 4r = -64 + 8r + -8r Combine like terms: 8r + -8r = 0 -24 + 4r = -64 + 0 -24 + 4r = -64 Add '24' to each side of the equation. -24 + 24 + 4r = -64 + 24 Combine like terms: -24 + 24 = 0 0 + 4r = -64 + 24 4r = -64 + 24 Combine like terms: -64 + 24 = -40 4r = -40 Divide each side by '4'. r = -10 Simplifying r = -10
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