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Simplifying 4(r + 2) = 2(3r + -6) Reorder the terms: 4(2 + r) = 2(3r + -6) (2 * 4 + r * 4) = 2(3r + -6) (8 + 4r) = 2(3r + -6) Reorder the terms: 8 + 4r = 2(-6 + 3r) 8 + 4r = (-6 * 2 + 3r * 2) 8 + 4r = (-12 + 6r) Solving 8 + 4r = -12 + 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 = -12 + 6r + -6r Combine like terms: 4r + -6r = -2r 8 + -2r = -12 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + -2r = -12 + 0 8 + -2r = -12 Add '-8' to each side of the equation. 8 + -8 + -2r = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = -12 + -8 -2r = -12 + -8 Combine like terms: -12 + -8 = -20 -2r = -20 Divide each side by '-2'. r = 10 Simplifying r = 10
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