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Simplifying -2r + 24 = -2(3 + 4r) Reorder the terms: 24 + -2r = -2(3 + 4r) 24 + -2r = (3 * -2 + 4r * -2) 24 + -2r = (-6 + -8r) Solving 24 + -2r = -6 + -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 + -2r + 8r = -6 + -8r + 8r Combine like terms: -2r + 8r = 6r 24 + 6r = -6 + -8r + 8r Combine like terms: -8r + 8r = 0 24 + 6r = -6 + 0 24 + 6r = -6 Add '-24' to each side of the equation. 24 + -24 + 6r = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 6r = -6 + -24 6r = -6 + -24 Combine like terms: -6 + -24 = -30 6r = -30 Divide each side by '6'. r = -5 Simplifying r = -5
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