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Simplifying 8r + -4(r + -2) = 6(r + 4) Reorder the terms: 8r + -4(-2 + r) = 6(r + 4) 8r + (-2 * -4 + r * -4) = 6(r + 4) 8r + (8 + -4r) = 6(r + 4) Reorder the terms: 8 + 8r + -4r = 6(r + 4) Combine like terms: 8r + -4r = 4r 8 + 4r = 6(r + 4) Reorder the terms: 8 + 4r = 6(4 + r) 8 + 4r = (4 * 6 + r * 6) 8 + 4r = (24 + 6r) Solving 8 + 4r = 24 + 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. 8 + 4r + -6r = 24 + 6r + -6r Combine like terms: 4r + -6r = -2r 8 + -2r = 24 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + -2r = 24 + 0 8 + -2r = 24 Add '-8' to each side of the equation. 8 + -8 + -2r = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = 24 + -8 -2r = 24 + -8 Combine like terms: 24 + -8 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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