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Simplifying -4(-6 + -1r) = -2r + -2(3 + -4r) (-6 * -4 + -1r * -4) = -2r + -2(3 + -4r) (24 + 4r) = -2r + -2(3 + -4r) 24 + 4r = -2r + (3 * -2 + -4r * -2) 24 + 4r = -2r + (-6 + 8r) Reorder the terms: 24 + 4r = -6 + -2r + 8r Combine like terms: -2r + 8r = 6r 24 + 4r = -6 + 6r Solving 24 + 4r = -6 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 24 + 4r + -6r = -6 + 6r + -6r Combine like terms: 4r + -6r = -2r 24 + -2r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 24 + -2r = -6 + 0 24 + -2r = -6 Add '-24' to each side of the equation. 24 + -24 + -2r = -6 + -24 Combine like terms: 24 + -24 = 0 0 + -2r = -6 + -24 -2r = -6 + -24 Combine like terms: -6 + -24 = -30 -2r = -30 Divide each side by '-2'. r = 15 Simplifying r = 15
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