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Simplifying -6r + 24 = -4(1 + -2r) Reorder the terms: 24 + -6r = -4(1 + -2r) 24 + -6r = (1 * -4 + -2r * -4) 24 + -6r = (-4 + 8r) Solving 24 + -6r = -4 + 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 + -6r + -8r = -4 + 8r + -8r Combine like terms: -6r + -8r = -14r 24 + -14r = -4 + 8r + -8r Combine like terms: 8r + -8r = 0 24 + -14r = -4 + 0 24 + -14r = -4 Add '-24' to each side of the equation. 24 + -24 + -14r = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -14r = -4 + -24 -14r = -4 + -24 Combine like terms: -4 + -24 = -28 -14r = -28 Divide each side by '-14'. r = 2 Simplifying r = 2
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